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 1 4 ÷ 25 = 0 remainder 4 The 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 3 25 × 0 = 0 The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.
divide step 4 4 − 0 = 4 Now we subtract the bottom number from the top number.
divide step 5   Bring down the next digit of the dividend.
divide step 6 42 ÷ 25 = 1 remainder 17 Divide 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 8 25 × 1 = 25 The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into.
divide step 9 42 − 25 = 17 Now we subtract the bottom number from the top number.
divide step 10   Bring down the next digit of the dividend.
divide step 11 175 ÷ 25 = 7 remainder 0 Divide 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 13 25 × 7 = 175 The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.
divide step 14 175 − 175 = 0 Now we subtract the bottom number from the top number.
    There are no more digits to bring down. The answer must be 17

 

1639, 1640, 1641, 1642, 1643, 1644, 1841, 1842, 1843