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How Do You Do Long Division with Decimals?

Carry out this division: 12.5 ÷ 5

Summary

  1. The dividend for this problem is 12.5
  2. The divisor for this problem is 5
  3. We remove the decimal from the dividend so that we can do long division
  4. The dividend we use for the long division problem is 125
  5. Since our divisor, 5, is a whole number, we can still use it
  6. The decimal came after the 2 in our original dividend, 12.5
  7. So put the decimal back in after the 2 in the dividend of the long division problem
  8. Bring the decimal straight up into the answer to get 2.5

Notes

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