I'll solve this step-by-step, working through each division problem to find the quotients and remainders.
Let me calculate each problem:
1. 801 ÷ 67
- 67 × 11 = 737
- 67 × 12 = 804 (too big)
- So 67 × 11 = 737
- 801 - 737 = 64
- Answer: 11 r 64
2. 5,493 ÷ 89
- 89 × 61 = 5,429
- 89 × 62 = 5,518 (too big)
- So 89 × 61 = 5,429
- 5,493 - 5,429 = 64
- Answer: 61 r 64
3. 3,525 ÷ 88
- 88 × 40 = 3,520
- 3,525 - 3,520 = 5
- Answer: 40 r 5
4. 19,813 ÷ 47
- 47 × 421 = 19,787
- 47 × 422 = 19,834 (too big)
- So 47 × 421 = 19,787
- 19,813 - 19,787 = 26
- Answer: 421 r 26
5. 2,033 ÷ 47
- 47 × 43 = 2,021
- 47 × 44 = 2,068 (too big)
- So 47 × 43 = 2,021
- 2,033 - 2,021 = 12
- Answer: 43 r 12
6. 17,749 ÷ 96
- 96 × 184 = 17,664
- 96 × 185 = 17,760 (too big)
- So 96 × 184 = 17,664
- 17,749 - 17,664 = 85
- Answer: 184 r 85
7. 65,961 ÷ 64
- 64 × 1,030 = 65,920
- 64 × 1,031 = 65,984 (too big)
- So 64 × 1,030 = 65,920
- 65,961 - 65,920 = 41
- Answer: 1,030 r 41
8. 30,105 ÷ 74
- 74 × 406 = 30,044
- 74 × 407 = 30,118 (too big)
- So 74 × 406 = 30,044
- 30,105 - 30,044 = 61
- Answer: 406 r 61
9. 5,471 ÷ 84
- 84 × 65 = 5,460
- 84 × 66 = 5,544 (too big)
- So 84 × 65 = 5,460
- 5,471 - 5,460 = 11
- Answer: 65 r 11
10. 63,735 ÷ 89
- 89 × 716 = 63,724
- 89 × 717 = 63,813 (too big)
- So 89 × 716 = 63,724
- 63,735 - 63,724 = 11
- Answer: 716 r 11
11. 17,245 ÷ 89
- 89 × 193 = 17,177
- 89 × 194 = 17,266 (too big)
- So 89 × 193 = 17,177
- 17,245 - 17,177 = 68
- Answer: 193 r 68
12. 14,285 ÷ 49
- 49 × 291 = 14,259
- 49 × 292 = 14,308 (too big)
- So 49 × 291 = 14,259
- 14,285 - 14,259 = 26
- Answer: 291 r 26
Now let me verify these calculations using Python to make sure they're all correct:
Parent Tip: Review the logic above to help your child master the concept of long division puzzle worksheet.
