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How Do You Do Long Division with Decimals?
Carry out this division: 12.5 ÷ 5
Summary
- The dividend for this problem is 12.5
- The divisor for this problem is 5
- We remove the decimal from the dividend so that we can do long division
- The dividend we use for the long division problem is 125
- Since our divisor, 5, is a whole number, we can still use it
- The decimal came after the 2 in our original dividend, 12.5
- So put the decimal back in after the 2 in the dividend of the long division problem
- Bring the decimal straight up into the answer to get 2.5

Notes
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- When we take out the decimal, we can do the problem like we would a normal long division problem
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- For our new problem we will use 125 for the dividend instead of 12.5
- Our divisor for this problem is a whole number, 5, so we can still use it
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- The dividend we are using here is 125
- The divisor in our problem is 5
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Since 1 is less than 5, 1
÷ 5 gives us a whole number 0 times
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Since 1 is less than 5, 1
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- When we multiply 0•5 we get 0
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- 1-0 gives us 1
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- The dividend we are using for the long division is 125
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When we divide 12
÷ 5, the whole number we get is 2 - Put the 2 up top above the 2 in the dividend
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When we divide 12
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- Multiply 2•5 to get 10
- Put the 10 underneath the 12
- Then subtract 12-10 and get 2
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When we divide 25
÷ 5 we get 5 - Put the 5 up top above the 5 in the dividend
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When we divide 25
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- Multiplying 5•5 gives us 25
- Put the 25 you get from multiplying underneath the first 25
- Then subtract 25-25 to get 0
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- The dividend in our original problem was 12.5, so the decimal came after the 2
- So put the decimal back in after the 2 in the long division problem
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- When you bring the decimal straight up it goes after the 2 in the answer
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- Now that we replaced the decimal, we have the solution to our original problem