LONG DIVISION: INDUCTIVE EXPLANATION
Dividing by Large Numbers
1. Just before Christmas Frank's father sent 360 oranges to be divided among the children in Frank's class. There are 29 children. How many oranges should each child receive? How many oranges will be left over?
Here is the best way to find out:
|
12 29|360 29 70 58 12 | and 12 remainder |
Think how many 29s there are in 36. 1 is right. Write 1 over the 6 of 36. Multiply 29 by 1. Write the 29 under the 36. Subtract 29 from 36. Write the 0 of 360 after the 7. Think how many 29s there are in 70. 2 is right. Write 2 over the 0 of 360. Multiply 29 by 2. Write the 58 under 70. Subtract 58 from 70. There is 12 remainder. Each child gets 12 oranges, and there are 12 left over. This is right, for 12 multiplied by 29 = 348, and 348 + 12 = 360. |
| 8. 31 | 99,587 | In No. 8, keep on dividing by 31 until you have used the 5, the 8, and the 7, and have four figures in the quotient. |
| 9. 22 | 253 | 10. 22 | 2895 | 11. 21 | 8891 | 12. 22 | 290 | 13. 32 | 16,368 |
Check your results for 9, 10, 11, 12, and 13.