## Dividing 6-Digit by 2-Digit Numbers

### Dividing: Learn

How to divide a six digit number by a two digit number (for example, 365420 ÷ 76).

Place the divisor (76) before the division bracket and place the dividend (365420) under it.

76 | 3 | 6 | 5 | 4 | 2 | 0 | 2 | 0 |

Examine the first two digits of the dividend (36). The number 36 is smaller than 76 so it can't be divided by 76 to produce a whole number. Next take the first three digits of the dividend (365) and determine how many 76's it contains. The number 365 contains four 76's (76*4=304) but not five (76*5=380). Place the 4 above the division bracket directly above the 5.

4 | |||||||

76 | 3 | 6 | 5 | 4 | 2 | 0 |

Multiply the 4 by 76 and place the result (304) below the 365 of the dividend.

4 | |||||||

76 | 3 | 6 | 5 | 4 | 2 | 0 | |

3 | 0 | 4 |

Draw a line under the 304 and subtract it from 365 (365-304 = 61). Bring down the 4 from the 365420 and place it to the right of the 1 in 61.

4 | |||||||

76 | 3 | 6 | 5 | 4 | 2 | 0 | |

- | 3 | 0 | 4 | ||||

6 | 1 | 4 |

Divide 614 by 76 and place that answer above the division bracket to the right of the 4.

4 | 8 | ||||||

76 | 3 | 6 | 5 | 4 | 2 | 0 | |

- | 3 | 0 | 4 | ||||

6 | 1 | 4 |

Multiply the 8 of the quotient by the divisor (76) to get 608 and place this below the 614. Draw a line under the 608 and subtract 608 from 614 to get an answer of 6. Bring down the 2 from the 365420 and place it to the right of the 6.

4 | 8 | ||||||

76 | 3 | 6 | 5 | 4 | 2 | 0 | |

- | 3 | 0 | 4 | ||||

6 | 1 | 4 | |||||

- | 6 | 0 | 8 | ||||

6 | 2 |

Since 62 is smaller than the divisor (76) place a zero (0) above the division bracket next to the 8. Bring down the 0 from the 365420 and place it to the right of the 2 in 62 (620).

4 | 8 | 0 | |||||

76 | 3 | 6 | 5 | 4 | 2 | 0 | |

- | 3 | 0 | 4 | ||||

6 | 1 | 4 | |||||

- | 6 | 0 | 8 | ||||

6 | 2 | 0 |

Divide 620 by 76 and place that answer above the division bracket to the right of the 0.

4 | 8 | 0 | 8 | ||||

76 | 3 | 6 | 5 | 4 | 2 | 0 | |

- | 3 | 0 | 4 | ||||

6 | 1 | 4 | |||||

- | 6 | 0 | 8 | ||||

6 | 2 | 0 |

Multiply the 8 of the quotient by the divisor (76) to get 608 and place this below the 620. Draw a line under the 608 and subtract 608 from 620 to get an answer of 12. The number 12 is called the "remainder" and indicates that there were 12 left over.

4 | 8 | 0 | 8 | R | 12 | ||||

76 | 3 | 6 | 5 | 4 | 2 | 0 | |||

- | 3 | 0 | 4 | ||||||

6 | 1 | 4 | |||||||

- | 6 | 0 | 8 | ||||||

6 | 2 | 0 | |||||||

- | 6 | 0 | 8 | ||||||

1 | 2 |

### Dividing Without Remainder: Practice

#### What is the quotient?

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