# 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.

You can also see this done in Long Division Animation.

Let's see how it is done with:

- the number to be divided into is called the
**dividend** - The number which divides the other number is called the
**divisor**

*And here we go:*

4 ÷ 25 = 0 remainder 4 | The first digit of the dividend (4) 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 digit 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 digit 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 digits to bring down. The answer must be 17 |