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Long Division Calculator with Decimals
Calculator Use
Do long division with decimal numbers and see the work for the calculation step-by-step. Enter positive or negative decimal numbers for divisor and dividend and calculate a quotient answer.
How to Do Long Division with Decimals
- 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. Then move the decimal point in the number you're dividing the same number of places to the right.
- Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar.
- Divide until the remainder is zero, or until you have enough decimal places in your answer. You can also stop if the remainder repeats because this indicates that your answer is a repeating decimal.
Calculate Decimal Places for a Quotient Answer
How far do you want to calculate the decimal places for the answer? Here are some examples:
- 31 divided by 16 = 1.937500 calculating to 6 decimal places
- 31 divided by 16 = 1.937 calculating to 3 decimal places
- 22 divided by 15 = 1.466666666 calculating 9 decimal places
- 22 divided by 15 = 1.466666 calculating 6 decimal places
- 22 divided by 15 = 1.466 calculating to 3 decimal places
Note that this is not the same as rounding to a specific number of decimal places. For example, 22 divided by 15 = 1.466 when calculated to 3 decimal places because you stop once you reach the third decimal place. On the other hand, 22 divided by 15 = 1.467 when rounded to 3 decimal places. In order to round to the third decimal place you must calculate to at least the fourth decimal place so that you know how to round the third decimal place. See our Rounding Numbers Calculator for more information.
Also see our Long Division with Remainders to see the work for long division with remainders.
Parts of Division
For the division problem 471 divided by 32:
- 471 is the dividend
- 32 is the divisor
- 14.718 is the quotient calculated out to 3 decimal places
How to do Long Division with Decimals: Example
In this problem we divide 4.71 by 3.2 out to 3 decimal places in the quotient answer.
Long Division
Step-by-Step
Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.
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If the divisor is a decimal number, move the decimal all the way to the right. Count the number of places and move the decimal in the dividend the same number of places. Add zeroes if needed.
Since 3.2 is not a whole number move the decimal point one place to the right. 32 is a whole number. Do the same to the dividend and move the decimal one place to the right.
Since we are solving to 3 decimal places, add two trailing zeroes to the dividend.
Insert a decimal point above the division bar, directly above the new decimal position in the dividend.
Since 3.2 is not a whole number move the decimal point one place to the right. 32 is a whole number. Do the same to the dividend and move the decimal one place to the right.
Since we are solving to 3 decimal places, add two trailing zeroes to the dividend.
Insert a decimal point above the division bar, directly above the new decimal position in the dividend.
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Divide the left most number of the dividend by the divisor, in this case divide 4 by 32.
Since 4 divided by 32 is not a whole number, the first quotient digit is 0.
Multiply the divisor 32 by the quotient 0 to get the product 0. Subtract 0 from 4 to get the remainder 4.
Since 4 divided by 32 is not a whole number, the first quotient digit is 0.
Multiply the divisor 32 by the quotient 0 to get the product 0. Subtract 0 from 4 to get the remainder 4.
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Next, bring down the 7 from the dividend so you have 47.
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What is 47 divided by 32? Or in other words, how many times does 32 go into 47? Just once, with a remainder.
Insert 1 in the quotient. To find the remainder, multiply the divisor by 1 and subtract the product 32 from the second dividend 47. The remainder is 15.
Insert 1 in the quotient. To find the remainder, multiply the divisor by 1 and subtract the product 32 from the second dividend 47. The remainder is 15.
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Again, bring down the next digit from the dividend, 1, and place it at the end of the remainder.
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Repeat the steps. What is 151 divided by 32? Or, how many times does 32 go into 151?
32 goes into 151 four times. Put a 4 in the next place in the quotient and multiply 32 by 4 to get 128.
Subtract that product from 151 to find a remainder of 23.
32 goes into 151 four times. Put a 4 in the next place in the quotient and multiply 32 by 4 to get 128.
Subtract that product from 151 to find a remainder of 23.
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Bring down the 0 from the dividend and insert it after 23 to get 230.
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What is 230 divided by 32? 32 goes into 230 seven times. Put a 7 in the next place in the quotient.
32 times 7 is 224.
230 minus 224 leaves a remainder of 6.
32 times 7 is 224.
230 minus 224 leaves a remainder of 6.
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Now bring down the next zero from the dividend and repeat the steps.
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32 goes into 60 only once. Put a 1 in the next place in the quotient.
32 multiplied by 1 is 32.
Subtracting 32 from 60 leaves a remainder of 28.
32 multiplied by 1 is 32.
Subtracting 32 from 60 leaves a remainder of 28.
Wikipedia: Long Division