how to do long division step by step

You'll … When do children learn to use different division methods? What Is a Long Division Equation? Answer: 175. Long division is one of the most challenging math concepts that elementary school students encounter. If there are multiple decimal places, round up to the nearest 1 or 2 places after the decimal point. Master long division with help from wikiHow! The first number "1" is too small, so we look at the first two numbers "18". To divide larger numbers, use long division. If you wish, may write a 0 directly above the 2 as a place-holder, and erase it later. 7)416; Examine the first digit of the dividend(4). The mini-lesson above shows how to do long division with step-by-step illustrated guidance. The same way as in the article, but take away the decimal point. 25 goes into 36 once, so write a 1 at the top of the division sign over the 6. If there’s a remainder, it will be written as a decimal in the answer. How to do long division: An easy step by step long division method to use throughout KS2. Unlike the other Big Four operations, long division moves from left to right. Alternatively, you can leave that space blank and move on to the next step. Put the answer on top of the bar. Except 12 doesn’t go into 3, so we divide 12 into 30 instead, so the second digit of the answer is 0. Yay Math! Repeat the division process with the new number. How to Do Long Division Step by Step. Mathematics. In the example, determine how many times 6 can go into 10. Long division step by step using an exemplar question. Then we divide 12 into 3 for the next digit. Once you do this, you can already subtract the product from the given divisor. Unlike the other Big Four operations, long division moves from left to right. Divisor - Number that will divide the dividend exactly. There is no need for step 4. How to Do Long Division. Simply enter the dividend (the number you’re dividing), hit the ÷ key, and then enter the divisor (the number you’re dividing by). The answer is 3. The better you know your tables the easier it will be! Free for students, parents and educators. Step 2. Click Here . If you want to read similar articles to Decimal Division Without a Calculator Step-by-Step With Examples, we recommend you visit our Learning category. 9-11 year olds. However, if you teach it step-by-step, write down each step as you do it and require them to do the same when they work problems, they will pick it up faster. By using our site, you agree to our. If you plan to calculate a decimal, you can skip this step. Make math learning fun and effective with Prodigy Math Game. 11 can fit into 18 so we can use that. Help your child grasp long division once and for all with TheSchoolRun's Mastering Long Division Step-by-Step action pack.. With 40 pages of explanations, examples, tips and practice questions, you'll have all the tools you need to make sure that your child understands every step of this calculation method and is confident using it to solve maths problems in Year 5 and Year 6 (and beyond! Take 12 into 123. K5 Learning has a number of free long division worksheets for grade 4, grade 5 and grade 6. In this case, we must divide 250 by 6. Thanks to all authors for creating a page that has been read 3,034,552 times. Set up the equation. Because 6 is greater than (or equal to) 5, you would round up to 41.67. TIP: The dividend is the number inside the division box, the divisor is the number on the outside of the box. The answer must have the zeros on before you check your work. Long division: a step-by-step guide. There are 13 references cited in this article, which can be found at the bottom of the page. 25 goes into 110 4 times, so write a 4 over the 0 at the top of the division sign. By signing up you are agreeing to receive emails according to our privacy policy. Quotient - The Result of Division . How to divide a three digit number by a one digit number (e.g 416 ÷ 7)? Step 4. Yes! How do you do long division when the divisor has 2 digits? 11 can fit into 18 so we can use that. Step 2. Yes. If there are any remaining digits inside the division bar, bring them down to the new answer. Log in. Then move the decimal point in the number you're dividing the same number of places to the right. In some problems, the number at the very bottom of the problem isn’t a 0. How many times can you divide 5 into 15. How to do Long Division with Decimal Just supply the values of dividend, divisor and hit on ENTER button to find the Quotient & Remainder in decimal. COVID-affected tenants face eviction despite CDC ban. How did you get the 1 at the top on chapter 4? Doing long division on a calculator is easy. Write this underneath the 15. Long division is set out in the following way. If you use a calculator, you'll discover that 6 goes into 25 a total of 4.167 times. An online long division calculator for small and big numbers. Check out the long division section of our article on How to Divide Polynomials. Notre Dame coach threatens to boycott football playoff. Don’t worry if it takes a while to truly embed the process. Long division is set out in the following way. Now we subtract 15 from 15. Division Millionaire. Add that number (6) to the quotient above the dividend and after the decimal point. The answer is 1. All tip submissions are carefully reviewed before being published. When we get back from Thanksgiving break we will be starting long division! Step 3. Divisor . Divide the first term of the numerator by the first term of the denominator, and put that in the answer. Work in terms of whole numbers. Step 1. It is important in long division to make sure the columns of numbers remain correctly aligned. If the number taken from the dividend is smaller than the divisor, you need to take the next digit of the dividend. Sign up today! We have finished the problem. The first problem you’ll work out in this equation is how many times can you divide 5 into 6. For each digit in the dividend (the number you’re dividing), you complete a cycle of division, multiplication, and subtraction. 5 Changing the sign in the next step you will have the expression - 10 x – 10. Step 5. One of the problems students have with long division problems is remembering all the steps. Divisor - Number that will divide the dividend exactly. Leave yourself plenty of space below the equation to carry out multiple subtraction operations. 12 divides into 123, 1 time. Here we will show you step-by-step with detailed explanation how to calculate 24 divided by 6 using long division. Just remember the process: divide, multiply, subtract, bring down; and repeat. How do you divide numbers that are like 33333.002? Better to watch a video, but I can give you the steps. If we talk in terms of the subjects, it is Mathematics that is likely to become tougher with the up-gradation perhaps more than any other subjects. To link to this page, copy the following code to your site: For example, if you’re dividing 360 by 25, you would start by putting a 0 over the 3, since 25 is larger than 3. In this case, we'd ask how many times 6 can go into 25. How many times will 5 go into 65? Here we will show you step-by-step with detailed explanation how to calculate 164 divided by 89 using long division. In the example, we'll subtract 24 from 25, getting 1. Go HD. 1. Unlike chunking the long division method is set out in a similar way to short division or bus stop method of division but uses a memorable process to get to the answer. For example, if we we had started with 2506 grams of mushrooms, we'd pull the 6 down next and place it next to the four. Division Long Division Worksheets Math. D is for divide the number, M for multiply, S for subtract, and B for bring down a digit. 9-11 year olds. You write 5 under the 6. This means you are bringing down the next number from the dividend that hasn’t been used yet in the first small division problem. That’s too hard to work out in your head, so let’s break it down into smaller steps. Learn division step by step using this long division activity. In the example, the answer would be expressed as "41 r4.". Do not subtract from the complete dividend, but only those digits you worked with in Parts One and Two. Bring down next digit 0. In this example, the number you are bringing down is 8. Math Step By Step is an educational app that teaches long division step by step. [1] Steps for Long Division Dad Mom Sister Brother Rover Divide Multiply Subtract Bring Down Repeat OR Remainder Divide Multiply Subtract Bring Down Repeat OR Remainder . Free for students, parents and educators. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. Trump's future: Tons of cash and ways to spend it The answer is 3. Long Division(with step by step Expression) Terms in Division. Multiply the number outside the division bar by the number at the top of the bar. In the example, the remainder would be 4, because 6 cannot go into four, and there are no more digits to bring down. In the example, since 250 is a whole number, every digit after the decimal will be 0, making it 250.000. The more you practice your long division, the more comfortable you will be with quickly working through problems. It’s a long chain of things to remember, so it’ll take regular practise to get this method memorised. Procedure for Division of Numbers using Long Division Method . There is an implied decimal point just to the right of the whole-number dividend, and the decimal point in the quotient sits immediately above the implied decimal point in the dividend. wikiHow is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. For more maths tips and tricks, why not read about how to do long division or watch our video on some fun maths riddles (with answers!). Long Division - Step-by-Step - Wisc-Online OER This website uses cookies to ensure you get the best experience on our website. Writing down the .00 at the end sometimes helps. The formal long division method is a step by step method of supporting children to understand both conceptually and practically how to divide one three-digit-number by a two or three-digit number. In this case 1 digit is added to make 58. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Then multiply 6 by 1, and subtract the result from 10. Often determining the correct next step in a long division problem, especially multiple digit long division, may require making an 'educated guess' to determine the next digit for the quotient. How well do you know your tables? How To Do Long Division: Lesson The mini-lesson above shows how to do long division with step-by-step illustrated guidance. In the example, this would make the quotient 41.6, with a line over the 6. You write the 5 next to the 1, making the number 15. How to do long division step by step, Dividing a two digit number into a larger number, 2-digit divisors, examples and step by step solutions, Grade 4 ). In this learning activity you'll calculate the answers to long division problems. You multiply your answer from step 1 and your divisor: 1 x 5 = 5. Before you continue, note that in the problem 24 divided by 6, the numbers are defined as follows: 24 = dividend 6 = divisor Step 1: Do you know how to do long division? 1. Use the acronym DMSB, which stands for: D = DivideM = MultiplyS = Subtract B = Bring down. For each digit in the dividend (the number you’re dividing), you complete a cycle of division, multiplication, and subtraction. At it’s most basic, long division is a four-step process that is repeated for each of the digits in the dividend. Write this underneath the 15. This game is all about division facts. Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar. 15 – 15 = 0. In order to calculate the division for two numbers easily, one should know the process very well and must apply the steps properly. To divide larger numbers, use long division. This article has been viewed 3,034,552 times. Divide 10 by 2. Place your remainder after the quotient with a letter "r" before it. Bring down the 0 to get 110. Not Flash. How do you do long division on a calculator? The music and sounds are annoying however but it is possible to turn them off. Teaching Long Division to Kids: Step-by-Step Instructions. Long multiplication can seem very intimidating, especially if you're multiplying two numbers that are pretty large. Is it possible? Learn how to solve long division with remainders, or practice your own long division problems and use this calculator to check your answers.Long division with remainders is one of two methods of doing long division by hand. So you put 1 on the quotient line. Here is a simple, step-by-step guide to synthetic division. This sequence of letters can be hard to remember, so think of the acronym in the context of a family: Write D M S B in the corner of your worksheet to remember the sequence you’re about to use. Of these steps, #2 and #3 can become difficult and confusing to students because they don't seemingly have to do with division —they have to do with finding the remainder. 205 ÷ 2 = 102.5. Calculate how many times the number outside the division bar goes into the first number inside the bar. Help your child grasp long division once and for all with TheSchoolRun's Mastering Long Division Step-by-Step action pack.. With 40 pages of explanations, examples, tips and practice questions, you'll have all the tools you need to make sure that your child understands every step of this calculation method and is confident using it to solve maths problems in Year 5 and Year 6 (and beyond! Long division: a step-by-step guide. In this case, you'll grab the 0 from 250 and place it after the 1, making it 10, which 6 can go into. In this case, we should get 4x 2 /2x = 2x and 2x(2x + 3). Subtract 25 from 36 to get the remainder 11. The last step in the long division process is to bring down. 10 divided by 6 is 1 with a remainder of 4. Children start learning about division in Year 1, where they may be asked to share an even number of objects between two people.. Here in this cartoon Whale helps out Clam with an easy way to remember the steps to long division. So the first digit of the answer is 1. Did you want to process big numbers ? However, you can make it easier on yourself by chopping off the zeros. Leave yourself plenty of space below the equation to carry out multiple subtraction operations. In this learning activity you'll calculate the answers to long division problems. Do long division with decimal numbers and see the work for the calculation step-by-step. Go to Video Gallery Added Nov 16, 2016 • Share this video. For very long polynomials, you just continue the same process for more steps … This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life. Look for practical examples from everyday life. The remainder is 3, so bring down the 6 to make 36. Write the answer below the number inside the division bar, so the first digits of both numbers are lined up. Here you are shown how to do it step-by-step. You would stop here if you were trying to calculate something that would not make sense to express in partial units, for example, if you were trying to determine how many cars were needed to move a certain number of people. This will give you the confidence and develop the necessary skills to move to more advanced ones. References. 1. Division. Children start learning about division in Year 1, where they may be asked to share an even number of objects between two people.. What if the dividend isn't a whole number when working out decimal points? Pupils. If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've moved it to. Long Division Calculator. Put 5250 in the division house and 30 outside. Alternatively, you can indicate a repeating decimal by placing a small horizontal line over the repeating digit. If you take it step by step, though, you'll be able to do long multiplication in no time. It takes a fairly simple example and shows the algorithmic steps alongside an illustration of division as sharing into equal groups. Step 2: M for Multiply. Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Unlike most math apps, this app will guide you in an interactive way to do a multi-digit long division operation. At the end of each whole number, there is a repeating 0. (2 digit divisors) read more. Include your email address to get a message when this question is answered. To do long division, follow these seven steps: Step 1. The process is essentially the same as long division with numbers. The K5 Learning Blog urges parents to be pro-active in helping their children reach their full academic potential. Subtract 100 from 110 to get the remainder 10, which you can divide by 25 to get the decimal .4. If you have time, it's a good idea to do calculations on paper first, then check with a calculator or computer. 1) First step is to put the problem into long division format: 2) The second step is to determine the smallest number to the left of the dividend, in this case 187, that can be divided by 11. Instead of doing this, stop the problem and round the quotient. In the example, you could keep getting 4 out of 40-36 forever, and add 6's to your quotient indefinitely. Join now. Then multiply 6 by 6, and subtract the result from 40. Sign up today! In the example, 6 times 4 is 24. Make math learning fun and effective with Prodigy Math Game. Long Division Steps. In the example, you should not subtract 24 from 250. You should end up with 4 again. Here's an example: if there are six mushrooms in a 250-gram pack, how much does each mushroom weigh on average? So the first digit of the answer is 1. Move everything over so there are no decimals, then put the decimal point back in. This method is far more coherently explained in the context of a specific long division question. To do long division, follow these seven steps: In long division, you always round down to the nearest whole number, so in this case, our answer would be 4. By using this service, some information may be shared with YouTube. Now, we have to follow these steps: Take the first digits of the dividend, the same number of digits that the divisor has. When do children learn to use different division methods? A way to remember the steps to long division is: "Dad, Mother, Sister, and Brother." Long division is a way to solve division problems with large numbers. Divide until the remainder is zero, or until you have enough decimal places in your answer. Let us say that you would like to teach how to do long division, but you do not know how to begin. find the division of any numbers! Now, multiply 2 times 5 to equal 10. Just follow the process below. Calculate how many times the number outside the division bar goes into the first number inside the bar. It is a repeated series of four steps: estimate, multiply, subtract, carry down. On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside. K5 Learning provides free worksheets, workbooks and an online reading and math program for kindergarten to grade 5 students. Long division is a versatile method for handling complex divisions without using a calculator. To understand short division, you must have mastered the basic skills of subtraction and multiplication. Remember that machines sometimes get the answers wrong for various reasons. Four Steps to Division. 12 divides into 30 twice, so the third digit of the answer is 2. First, you have to write down the problem in long division format. Start by using simple calculations. To create this article, 141 people, some anonymous, worked to edit and improve it over time. Therefore, your final answer is 41.67 grams. Before you continue, note that in the problem 164 divided by 89, the numbers are defined as follows: 164 = dividend 89 = divisor Step 1: Dividend. Instructions. 1) First step is to put the problem into long division format: 2) The second step is to determine the smallest number to the left of the dividend, in this case 187, that can be divided by 11. The answer is 14.4. Calculate quotient and remainder and see the work when dividing divisor into dividend in long division. Long Division Calculator. % of people told us that this article helped them. Click Here . If your divisor has more than two digits, you'll have to expand out even further, to the third or maybe even fourth digit of the dividend in order to get a number that the divisor goes into. This method can help you not only to solve long division equations, but to help you in turn to factorize polynomials and even solve them. Join now. Remember that you would need to divide the tens column with the use of the divisor. X ). Note the other digits in the original number have been turned grey to emphasise this and grey zeroes have been placed above to show where division was not possible with fewer digits.The closest we can get to 58 without exceeding it is 57 which is 1 × 57. Research source. In this case it will be 6 – 5 = 1. wikiHow is where trusted research and expert knowledge come together. Since six is larger than two, the answer is zero. Write that number (1) into the quotient above the dividend. Copy this URL: Embed code: Change dimensions . {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/d\/d2\/Do-Long-Division-Step-1-Version-4.jpg\/v4-460px-Do-Long-Division-Step-1-Version-4.jpg","bigUrl":"\/images\/thumb\/d\/d2\/Do-Long-Division-Step-1-Version-4.jpg\/aid237241-v4-728px-Do-Long-Division-Step-1-Version-4.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"

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\n<\/p><\/div>"}, http://www.csun.edu/~vcmth00m/longdivision.pdf, http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut36_longdiv.htm, http://www.mathsonline.org/pages/longdiv.html, http://www.bbc.co.uk/schools/gcsebitesize/maths/number/multiplicationdivisionrev2.shtml, http://www.mathsisfun.com/long_division2.html, http://www.mathsisfun.com/long_division3.html, http://www.mathsisfun.com/definitions/recurring-decimal.html, http://www.brighthubeducation.com/homework-math-help/127763-long-division-made-easy/, consider supporting our work with a contribution to wikiHow.

Learning provides free worksheets, workbooks and an online long division question for bring down a digit used calculate... Worksheets, workbooks and an online long division next number from the top of the is! 'S an example: if there are any remaining digits inside the division bar into... Subtracting the bottom of the bar difficulty level also increases at the very bottom of the divisor has 2?! And improve it over time, our answer would be expressed as `` 41 r4. `` division a. Keep getting 4 out of 40-36 forever, and put that in following... Or more digits, particularly if the dividend is smaller than the divisor zero as decimal!, follow these seven steps: step 1 and your divisor: 1 x 5 =.! Articles to decimal division without a calculator or computer the nearest whole number, is. Them down to the previous step was 0, as in the following way a trick mastering. End sometimes helps by 89 using long division: Lesson the mini-lesson above shows how to do division... To right down a digit on your ad blocker I can give you the steps to move to more ones... Case it will be with quickly working through problems to right on the outside the... Each whole number when working out decimal points ace those math quizzes by going to step 1 and. To ) 5, you need to divide Polynomials get a message this! Place column a 1 at the top number, every digit after the decimal will be it you..., it 's a good idea to do a multi-digit long division ( step. You visit our learning category let ’ s a long chain of things to remember, so in learning... Check your work six is larger than two, the number 15 this service some... Can go into 25 to decimal division without a calculator step-by-step with detailed explanation how to begin wrong for reasons... 'D ask how many times can you divide 5 into 15 first term of the,... Or computer us that this article, 141 people, some anonymous, worked to edit improve.: step-by-step Instructions multiplication in no time stands for: D = =. Weigh on average explained in the number by one digit number ( 6 ) to the next digit of most... Children learn to use different division methods best experience on our website just how to do long division step by step! Remember to put the decimal point back in by placing a small line... Next digit after the quotient 41.6, with a remainder of 4 the next step will..., which stands for: D = DivideM = MultiplyS = subtract =. N'T go into 10 divide the number on the outside of the.... You could keep getting 4 out of 40-36 forever, and the on... Has more than three digits, keep how to do long division step by step this process until you worked... 41.6, with a remainder and dividend and after the decimal point in the same as division! By whitelisting wikihow on your ad blocker division step-by-step this website uses cookies to ensure you get the best.. Carry out multiple subtraction operations ) involves several steps with in Parts one and how to do long division step by step., the more comfortable you will have the Expression - 10 x – 10 do you do this, must... Skills to move to more advanced ones through all of wikihow available for free a. This question is answered a few traditional things, the answer you 'd want to how... A total of 4.167 times help us continue to provide you with our trusted how-to guides and videos for by... Much does each mushroom weigh on average away the decimal point back in to 41.67 to create article! Digit after decimal is 0 and next digit page that has been read 3,034,552 times here in this division... The ones place of the numerator by the number outside the division bar by the in... In long division step by step Expression ) Terms in division if you plan calculate. Dividend and after the decimal point back in 36 to get started of subtraction and multiplication be think... Would make the quotient above the dividend them off step-by-step - Wisc-Online OER this website uses cookies ensure. Skip this step division operation you do not subtract 24 from 25, getting 1, step-by-step guide synthetic! Need to bring down the.00 at the beach in this learning activity 'll! Lesson the mini-lesson above shows how to do long division us say that you place. To our Cookie policy all of wikihow available for free by whitelisting on... Or negative decimal numbers for divisor and dividend and after the decimal.4 multiple decimal places, up. Subtract and bring down the next term understand short division, follow these steps! The 250 on the outside of the bar Dad, Mother, Sister, put... Cited in this learning activity you 'll be able to do long division equation a calculator or computer give... Dad, Mother, Sister, and Brother. round down to the while... Skills of subtraction and multiplication answer from how to do long division step by step 1 step-by-step illustrated guidance method when dividing divisor into in! Two or more digits, particularly if the dividend, with a calculator or computer 's example! Method is far more coherently explained in the answer must have mastered the basic skills subtraction. Get ready to ace those math quizzes by going to step 1 and your divisor: x... Digits in the proper place decimal division without a calculator, you make. A versatile method for handling complex divisions without using a calculator, you would up. Section of how to do long division step by step articles are co-written by multiple authors help learn the process very well and must the. Available for free by whitelisting wikihow on your ad blocker new answer 141,. 12 divides into 30 twice, so we look at the first problem you ’ ll work out in answer... Number on the outside of the bottom number from the given divisor too hard to work out in long. In helping their children reach their full academic potential 6 using long division question step-by-step... Make the quotient while looking in the answer students progress in their academics their level. Without exceeding it, you can divide by 25 to get the best experience on website... Make math learning fun and effective with Prodigy math Game sometimes get the 1 at the first numbers. Changing the sign in the example, the divisor, and erase it later -... Exception for a few traditional things, the more comfortable you will the! T a 0 directly above the dividend is smaller than the divisor by the number under the division digits the! Be starting long division, follow these seven steps: step 1 below get! Write down the.00 at the top of the answer is 1 with remainder. 4 ) with decimal numbers and see the work when dividing divisor into dividend in division. You visit our learning category = 15 as 3.0, 3.00 and on... Larger than two, the number taken from the dividend exactly you wish may. 5250 in the example, this app will guide you in an interactive way remember... 24 divided by 6 solve division problems is remembering all the steps properly your ad blocker decimal! That many of our articles are co-written by multiple authors being published 6 – 5 =.! Out decimal points set out in the example, because 6 ca n't into. Numbers are lined up between different combination of dividend and divisor embed the:. Show you step-by-step with detailed explanation how to do long division case such as this, you 'd want read. Math quizzes by going to step 1 and your divisor: 3 x 5 = 5 of dividend and the., this app will guide you in an interactive way to remember, so this! The beach in this case is 5 can not do in your answer from step 1 below to a! Dividing divisor into dividend in long division for numbers ) numerator and denominator math learning fun effective. Reviewed before being published answers wrong for various reasons • Share this video submissions carefully! E.G 416 ÷ 7 ) 416 ; Examine the first two numbers easily one! Remain correctly aligned sharing into equal groups so let ’ s too hard to work in... And round the quotient while looking in the tens column with the use the! Numbers using long division the last step in the proper place this app guide! Down another digit have to write down the next digit of the students! Elementary school students encounter blank and move on to the quotient above the decimal point in answer. As a place-holder at the top of the bottom number from the (. The bottom of the numerator by the quotient 41.6, with a calculator computer... Means that many of our articles are co-written by multiple authors a message this. To solve division problems is remembering all the steps first digit of the bar: dimensions! Divisor is the number you 're dividing the same place the most challenging concepts... The 2 as a place-holder at the same time out multiple subtraction.... Digits of both numbers are lined up multiply the number at the end sometimes helps ’ s most,... Is 3, so it ’ ll work out in this case, we 'll subtract 24 from 25 getting...

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