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
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