| 2. | 3. | 4. | 5. | 6. | 7. | 8. | 9. |
| 41 | 33 | 42 | 44 | 53 | 43 | 34 | 24 |
| 3 | 2 | 4 | 2 | 3 | 2 | 2 | 2 |
| 10. | 11. | 12. | 13. | 14. | 15. | 16. | |
| 43 | 52 | 32 | 23 | 41 | 51 | 14 | |
| 3 | 3 | 3 | 3 | 2 | 4 | 2 | |
17. | |||
| 213 3 | Write the 9 in the ones column. Write the 6 in the hundreds column. Write the 3 in the tens column. | Check your answer by adding. | Add 213 213 213 |
| 18. | 19. | 20. | 21. | 22. | 23. | 24. |
| 214 | 312 | 432 | 231 | 132 | 314 | 243 |
| 2 | 3 | 2 | 3 | 3 | 2 | 2 |
SHORT DIVISION: DEDUCTIVE EXPLANATION
Divide 1825 by 4
Divisor 4 | 1825 Dividend
456¼
Quotient
Explanation.—For convenience we write the divisor at the left of the dividend, and the quotient below it, and begin at the left to divide. 4 is not contained in 1 thousand any thousand times, therefore the quotient contains no unit of any order higher than hundreds. Consequently we find how many times 4 is contained in the hundreds of the dividend. 1 thousand and 8 hundreds are 18 hundreds. 4 is contained in 18 hundreds 4 hundred times and 2 hundreds remaining. We write the 4 hundreds in the quotient. The 2 hundreds we consider as united with the 2 tens, making 22 tens. 4 is contained in 22 tens 5 tens times, and 2 tens remaining. We write the 5 tens in the quotient, and the remaining 2 tens we consider as united with the 5 units, making 25 units. 4 is contained in 25 units 6 units times and 1 unit remaining. We write the 6 units in the quotient and indicate the division of the remainder, 1 unit, by the divisor 4.
Therefore the quotient of 1825 divided by 4 is 456¼, or 456 and 1 remainder.
SHORT DIVISION: INDUCTIVE EXPLANATION