## Dividing 6-Digit by 3-Digit Numbers

### Dividing: Learn

How to divide a six digit number by a three digit number (for example, 365420 ÷ 276).

Place the divisor (276) before the division bracket and place the dividend (365420) under it:

276 | 3 | 6 | 5 | 4 | 2 | 0 |

Examine the first 3 digits of the dividend (365). The number 365 is smaller than 276 so it can be divided by 276 to produce a whole number. The number 365 contains one 276 (276*1=276) but not 2 (276*2=552). Place the 1 above the division bracket and directly above the 6.

1 | |||||||

276 | 3 | 6 | 5 | 4 | 2 | 0 |

Multiply the 1 by 276 and place the result (276) below the 365 of the dividend.

1 | |||||||

276 | 3 | 6 | 5 | 4 | 2 | 0 | |

2 | 7 | 6 |

Draw a line under the 276 and subtract it from 365 (365-276 = 89). Since 89 is smaller than 276 bring down the 4 from the 365420 and place it to the right of the 9 in 89 (894).

1 | |||||||

276 | 3 | 6 | 5 | 4 | 2 | 0 | |

- | 2 | 7 | 6 | ||||

8 | 9 | 4 |

Divide 894 by 276 and place that answer above the division bracket to the right of the 1.

1 | 3 | ||||||

276 | 3 | 6 | 5 | 4 | 2 | 0 | |

- | 2 | 7 | 6 | ||||

8 | 9 | 4 |

Multiply the 3 of the quotient by the divisor (276) to get 828 and place this below the 894. Draw a line under the 828 and subtract 828 from 894 to get an answer of 66. Bring down the 2 from the 365420 and place it to the right of the 6.

1 | 3 | ||||||

276 | 3 | 6 | 5 | 4 | 2 | 0 | |

- | 2 | 7 | 6 | ||||

8 | 9 | 4 | |||||

- | 8 | 2 | 8 | ||||

6 | 6 | 2 |

Divide 662 by 276 and place that answer above the division bracket to the right of the 3.

1 | 3 | 2 | |||||

276 | 3 | 6 | 5 | 4 | 2 | 0 | |

- | 2 | 7 | 6 | ||||

8 | 9 | 4 | |||||

- | 8 | 2 | 8 | ||||

6 | 6 | 2 |

Multiply the 2 of the quotient by the divisor (276) to get 552 and place this below the 662. Draw a line under the 552 and subtract 552 from 662 to get an answer of 110. Bring down the 0 from the 365420 and place it to the right of the 0 in 110 (1100).

1 | 3 | 2 | |||||

276 | 3 | 6 | 5 | 4 | 2 | 0 | |

- | 2 | 7 | 6 | ||||

8 | 9 | 4 | |||||

- | 8 | 2 | 8 | ||||

6 | 6 | 2 | |||||

- | 5 | 5 | 2 | ||||

1 | 1 | 0 | 0 |

Divide 1100 by 276 and place that answer above the division bracket to the right of the 2.

1 | 3 | 2 | 3 | ||||

276 | 3 | 6 | 5 | 4 | 2 | 0 | |

- | 2 | 7 | 6 | ||||

8 | 9 | 4 | |||||

- | 8 | 2 | 8 | ||||

6 | 6 | 2 | |||||

- | 5 | 5 | 2 | ||||

1 | 1 | 0 | 0 |

Multiply the 3 of the quotient by the divisor (276) to get 828 and place this below the 1100. Draw a line under the 828 and subtract 828 from 1100 to get a difference of 272. The 272 is the remainder. Place it above the division bracket after the letter R.

1 | 3 | 2 | 3 | R | 272 | ||||

276 | 3 | 6 | 5 | 4 | 2 | 0 | |||

- | 2 | 7 | 6 | ||||||

8 | 9 | 4 | |||||||

- | 8 | 2 | 8 | ||||||

6 | 6 | 2 | |||||||

- | 5 | 5 | 2 | ||||||

1 | 1 | 0 | 0 | ||||||

- | 8 | 2 | 8 | ||||||

2 | 7 | 2 |

### Dividing Without Remainder: Practice

#### What is the quotient?

00:00

R | |||

Press the Start Button To Begin

You have
0
correct and
0
incorrect.

This is
0
percent correct.

### Play

Game Name | Description | Best Score |
---|---|---|

How many correct answers can you get in 60 seconds? | 0 | |

Extra time is awarded for each correct answer.
Play longer by getting more correct. |
0 | |

How fast can you get 20 more correct answers than wrong answers? | 999 |

### Explore

#### Math Lessons by Grade

#### Math Topics

- Addition
- Algebra
- Comparing
- Counting
- Decimals
- Division
- Equations
- Estimation and Mental Math
- Exponents
- Fractions
- Geometry
- Measurement
- Money
- Multiplication
- Naming Numbers
- Patterns
- Percents and Ratios
- Place Value
- Properties
- Statistics
- Subtraction