Long Division

Below is the process written out in full.
You will often see other versions, which are generally just a shortened version of the process below
.
You can also see this done in Long Division Animation.

Let's see how it is done with:

long division 425 / 25

And here we go:

divide step 14 ÷ 25 = 0 remainder 4The first digit of the dividend (4) is divided by the divisor.
divide step 2 The whole number result is placed at the top. Any remainders are ignored at this point.
divide step 325 × 0 = 0The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.
divide step 44 − 0 = 4Now we subtract the bottom number from the top number.
divide step 5 Bring down the next digit of the dividend.
divide step 642 ÷ 25 = 1 remainder 17Divide this number by the divisor.
divide step 7 The whole number result is placed at the top. Any remainders are ignored at this point.
divide step 825 × 1 = 25The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into.
divide step 942 − 25 = 17Now we subtract the bottom number from the top number.
divide step 10 Bring down the next digit of the dividend.
divide step 11175 ÷ 25 = 7 remainder 0Divide this number by the divisor.
divide step 12 The whole number result is placed at the top. Any remainders are ignored at this point.
divide step 1325 × 7 = 175The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.
divide step 14175 − 175 = 0Now we subtract the bottom number from the top number.
  There are no more digits to bring down. The answer must be 17

 

Long Division Worksheets