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Long Division

Below is the process written out in full. (It is what is called an "algorithmic process").
You will often see other versions. These are generally just a shortened version
of the process below
.

Let's see how it is done with:

425 ÷ 25

There are two definitions we must make first.

  • the number to be divided into is known as the dividend (425 from above)
  • The number which divides the other number is known as the divisor (25 from above)
Note: You can also see this done in Long Division Animation
4 ÷ 25 = 0 remainder 4 The first number of the dividend is divided by the divisor.
  The whole number result is placed at the top. Any remainders are ignored at this point.
25 × 0 = 0 The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.
4 – 0 = 4 Now we subtract the bottom number from the top number.
  Bring down the next number of the dividend.
42 ÷ 25 = 1 remainder 17 Divide this number by the divisor.
  The whole number result is placed at the top. Any remainders are ignored at this point.
25 × 1 = 25 The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into.
42 – 25 = 17 Now we subtract the bottom number from the top number.
  Bring down the next number of the dividend.
175 ÷ 25 = 7 remainder 0 Divide this number by the divisor.
  The whole number result is placed at the top. Any remainders are ignored at this point.
25 × 7 = 175 The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.
175 – 175 = 0 Now we subtract the bottom number from the top number.
    There are no more numbers to bring down. The answer must be 17