Division worksheet for students to practice finding quotients with two-digit divisors.
Division math worksheet with 21 problems for finding quotients, including numbers like 38 into 221 and 60 into 492, designed for classroom use.
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Show Answer Key & Explanations
Step-by-step solution for: Printable Division Worksheets for Teachers | Math Champions
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Show Answer Key & Explanations
Step-by-step solution for: Printable Division Worksheets for Teachers | Math Champions
Let's solve each of these long division problems step by step and find the quotient (and remainder, if any). I'll go through each one systematically.
---
We divide 221 by 38.
- 38 × 5 = 190
- 38 × 6 = 228 → too big
- So, 38 goes into 221 5 times
- 221 − 190 = 31
✔ Quotient: 5, Remainder: 31
→ 5 R31
---
Divide 492 by 60.
- 60 × 8 = 480
- 60 × 9 = 540 → too big
- So, 60 goes into 492 8 times
- 492 − 480 = 12
✔ Quotient: 8, Remainder: 12
→ 8 R12
---
Divide 758 by 65.
- 65 × 10 = 650
- 65 × 11 = 715
- 65 × 12 = 780 → too big
- So, 65 goes into 758 11 times
- 758 − 715 = 43
✔ Quotient: 11, Remainder: 43
→ 11 R43
---
Divide 658 by 22.
- 22 × 29 = 638
- 22 × 30 = 660 → too big
- So, 22 goes into 658 29 times
- 658 − 638 = 20
✔ Quotient: 29, Remainder: 20
→ 29 R20
---
Divide 421 by 61.
- 61 × 6 = 366
- 61 × 7 = 427 → too big
- So, 61 goes into 421 6 times
- 421 − 366 = 55
✔ Quotient: 6, Remainder: 55
→ 6 R55
---
Divide 853 by 52.
- 52 × 16 = 832
- 52 × 17 = 884 → too big
- So, 52 goes into 853 16 times
- 853 − 832 = 21
✔ Quotient: 16, Remainder: 21
→ 16 R21
---
Divide 520 by 49.
- 49 × 10 = 490
- 49 × 11 = 539 → too big
- So, 49 goes into 520 10 times
- 520 − 490 = 30
✔ Quotient: 10, Remainder: 30
→ 10 R30
---
Divide 771 by 15.
- 15 × 51 = 765
- 15 × 52 = 780 → too big
- So, 15 goes into 771 51 times
- 771 − 765 = 6
✔ Quotient: 51, Remainder: 6
→ 51 R6
---
Divide 980 by 77.
- 77 × 12 = 924
- 77 × 13 = 1001 → too big
- So, 77 goes into 980 12 times
- 980 − 924 = 56
✔ Quotient: 12, Remainder: 56
→ 12 R56
---
Divide 812 by 68.
- 68 × 11 = 748
- 68 × 12 = 816 → too big
- So, 68 goes into 812 11 times
- 812 − 748 = 64
✔ Quotient: 11, Remainder: 64
→ 11 R64
---
Divide 144 by 77.
- 77 × 1 = 77
- 77 × 2 = 154 → too big
- So, 77 goes into 144 1 time
- 144 − 77 = 67
✔ Quotient: 1, Remainder: 67
→ 1 R67
---
Divide 818 by 48.
- 48 × 16 = 768
- 48 × 17 = 816
- 48 × 18 = 864 → too big
- So, 48 goes into 818 17 times
- 818 − 816 = 2
✔ Quotient: 17, Remainder: 2
→ 17 R2
---
Divide 614 by 39.
- 39 × 15 = 585
- 39 × 16 = 624 → too big
- So, 39 goes into 614 15 times
- 614 − 585 = 29
✔ Quotient: 15, Remainder: 29
→ 15 R29
---
Divide 415 by 11.
- 11 × 37 = 407
- 11 × 38 = 418 → too big
- So, 11 goes into 415 37 times
- 415 − 407 = 8
✔ Quotient: 37, Remainder: 8
→ 37 R8
---
Divide 641 by 20.
- 20 × 32 = 640
- 20 × 33 = 660 → too big
- So, 20 goes into 641 32 times
- 641 − 640 = 1
✔ Quotient: 32, Remainder: 1
→ 32 R1
---
Divide 383 by 69.
- 69 × 5 = 345
- 69 × 6 = 414 → too big
- So, 69 goes into 383 5 times
- 383 − 345 = 38
✔ Quotient: 5, Remainder: 38
→ 5 R38
---
Divide 763 by 80.
- 80 × 9 = 720
- 80 × 10 = 800 → too big
- So, 80 goes into 763 9 times
- 763 − 720 = 43
✔ Quotient: 9, Remainder: 43
→ 9 R43
---
Divide 626 by 93.
- 93 × 6 = 558
- 93 × 7 = 651 → too big
- So, 93 goes into 626 6 times
- 626 − 558 = 68
✔ Quotient: 6, Remainder: 68
→ 6 R68
---
Divide 604 by 87.
- 87 × 6 = 522
- 87 × 7 = 609 → too big
- So, 87 goes into 604 6 times
- 604 − 522 = 82
✔ Quotient: 6, Remainder: 82
→ 6 R82
---
Divide 531 by 57.
- 57 × 9 = 513
- 57 × 10 = 570 → too big
- So, 57 goes into 531 9 times
- 531 − 513 = 18
✔ Quotient: 9, Remainder: 18
→ 9 R18
---
Divide 974 by 22.
- 22 × 44 = 968
- 22 × 45 = 990 → too big
- So, 22 goes into 974 44 times
- 974 − 968 = 6
✔ Quotient: 44, Remainder: 6
→ 44 R6
---
## ✔ Final Answers:
| Problem | Quotient | Remainder |
|--------|----------|-----------|
| 1. | 5 | 31 |
| 2. | 8 | 12 |
| 3. | 11 | 43 |
| 4. | 29 | 20 |
| 5. | 6 | 55 |
| 6. | 16 | 21 |
| 7. | 10 | 30 |
| 8. | 51 | 6 |
| 9. | 12 | 56 |
| 10. | 11 | 64 |
| 11. | 1 | 67 |
| 12. | 17 | 2 |
| 13. | 15 | 29 |
| 14. | 37 | 8 |
| 15. | 32 | 1 |
| 16. | 5 | 38 |
| 17. | 9 | 43 |
| 18. | 6 | 68 |
| 19. | 6 | 82 |
| 20. | 9 | 18 |
| 21. | 44 | 6 |
---
All problems are solved using long division. For each, we:
1. Estimate how many times the divisor fits into the dividend.
2. Multiply and subtract.
3. Find the quotient and remainder.
If you need the answers written in a specific format (e.g., just quotients, or with decimals), let me know!
---
1. 38 ÷ 221
We divide 221 by 38.
- 38 × 5 = 190
- 38 × 6 = 228 → too big
- So, 38 goes into 221 5 times
- 221 − 190 = 31
✔ Quotient: 5, Remainder: 31
→ 5 R31
---
2. 60 ÷ 492
Divide 492 by 60.
- 60 × 8 = 480
- 60 × 9 = 540 → too big
- So, 60 goes into 492 8 times
- 492 − 480 = 12
✔ Quotient: 8, Remainder: 12
→ 8 R12
---
3. 65 ÷ 758
Divide 758 by 65.
- 65 × 10 = 650
- 65 × 11 = 715
- 65 × 12 = 780 → too big
- So, 65 goes into 758 11 times
- 758 − 715 = 43
✔ Quotient: 11, Remainder: 43
→ 11 R43
---
4. 22 ÷ 658
Divide 658 by 22.
- 22 × 29 = 638
- 22 × 30 = 660 → too big
- So, 22 goes into 658 29 times
- 658 − 638 = 20
✔ Quotient: 29, Remainder: 20
→ 29 R20
---
5. 61 ÷ 421
Divide 421 by 61.
- 61 × 6 = 366
- 61 × 7 = 427 → too big
- So, 61 goes into 421 6 times
- 421 − 366 = 55
✔ Quotient: 6, Remainder: 55
→ 6 R55
---
6. 52 ÷ 853
Divide 853 by 52.
- 52 × 16 = 832
- 52 × 17 = 884 → too big
- So, 52 goes into 853 16 times
- 853 − 832 = 21
✔ Quotient: 16, Remainder: 21
→ 16 R21
---
7. 49 ÷ 520
Divide 520 by 49.
- 49 × 10 = 490
- 49 × 11 = 539 → too big
- So, 49 goes into 520 10 times
- 520 − 490 = 30
✔ Quotient: 10, Remainder: 30
→ 10 R30
---
8. 15 ÷ 771
Divide 771 by 15.
- 15 × 51 = 765
- 15 × 52 = 780 → too big
- So, 15 goes into 771 51 times
- 771 − 765 = 6
✔ Quotient: 51, Remainder: 6
→ 51 R6
---
9. 77 ÷ 980
Divide 980 by 77.
- 77 × 12 = 924
- 77 × 13 = 1001 → too big
- So, 77 goes into 980 12 times
- 980 − 924 = 56
✔ Quotient: 12, Remainder: 56
→ 12 R56
---
10. 68 ÷ 812
Divide 812 by 68.
- 68 × 11 = 748
- 68 × 12 = 816 → too big
- So, 68 goes into 812 11 times
- 812 − 748 = 64
✔ Quotient: 11, Remainder: 64
→ 11 R64
---
11. 77 ÷ 144
Divide 144 by 77.
- 77 × 1 = 77
- 77 × 2 = 154 → too big
- So, 77 goes into 144 1 time
- 144 − 77 = 67
✔ Quotient: 1, Remainder: 67
→ 1 R67
---
12. 48 ÷ 818
Divide 818 by 48.
- 48 × 16 = 768
- 48 × 17 = 816
- 48 × 18 = 864 → too big
- So, 48 goes into 818 17 times
- 818 − 816 = 2
✔ Quotient: 17, Remainder: 2
→ 17 R2
---
13. 39 ÷ 614
Divide 614 by 39.
- 39 × 15 = 585
- 39 × 16 = 624 → too big
- So, 39 goes into 614 15 times
- 614 − 585 = 29
✔ Quotient: 15, Remainder: 29
→ 15 R29
---
14. 11 ÷ 415
Divide 415 by 11.
- 11 × 37 = 407
- 11 × 38 = 418 → too big
- So, 11 goes into 415 37 times
- 415 − 407 = 8
✔ Quotient: 37, Remainder: 8
→ 37 R8
---
15. 20 ÷ 641
Divide 641 by 20.
- 20 × 32 = 640
- 20 × 33 = 660 → too big
- So, 20 goes into 641 32 times
- 641 − 640 = 1
✔ Quotient: 32, Remainder: 1
→ 32 R1
---
16. 69 ÷ 383
Divide 383 by 69.
- 69 × 5 = 345
- 69 × 6 = 414 → too big
- So, 69 goes into 383 5 times
- 383 − 345 = 38
✔ Quotient: 5, Remainder: 38
→ 5 R38
---
17. 80 ÷ 763
Divide 763 by 80.
- 80 × 9 = 720
- 80 × 10 = 800 → too big
- So, 80 goes into 763 9 times
- 763 − 720 = 43
✔ Quotient: 9, Remainder: 43
→ 9 R43
---
18. 93 ÷ 626
Divide 626 by 93.
- 93 × 6 = 558
- 93 × 7 = 651 → too big
- So, 93 goes into 626 6 times
- 626 − 558 = 68
✔ Quotient: 6, Remainder: 68
→ 6 R68
---
19. 87 ÷ 604
Divide 604 by 87.
- 87 × 6 = 522
- 87 × 7 = 609 → too big
- So, 87 goes into 604 6 times
- 604 − 522 = 82
✔ Quotient: 6, Remainder: 82
→ 6 R82
---
20. 57 ÷ 531
Divide 531 by 57.
- 57 × 9 = 513
- 57 × 10 = 570 → too big
- So, 57 goes into 531 9 times
- 531 − 513 = 18
✔ Quotient: 9, Remainder: 18
→ 9 R18
---
21. 22 ÷ 974
Divide 974 by 22.
- 22 × 44 = 968
- 22 × 45 = 990 → too big
- So, 22 goes into 974 44 times
- 974 − 968 = 6
✔ Quotient: 44, Remainder: 6
→ 44 R6
---
## ✔ Final Answers:
| Problem | Quotient | Remainder |
|--------|----------|-----------|
| 1. | 5 | 31 |
| 2. | 8 | 12 |
| 3. | 11 | 43 |
| 4. | 29 | 20 |
| 5. | 6 | 55 |
| 6. | 16 | 21 |
| 7. | 10 | 30 |
| 8. | 51 | 6 |
| 9. | 12 | 56 |
| 10. | 11 | 64 |
| 11. | 1 | 67 |
| 12. | 17 | 2 |
| 13. | 15 | 29 |
| 14. | 37 | 8 |
| 15. | 32 | 1 |
| 16. | 5 | 38 |
| 17. | 9 | 43 |
| 18. | 6 | 68 |
| 19. | 6 | 82 |
| 20. | 9 | 18 |
| 21. | 44 | 6 |
---
📝 Summary:
All problems are solved using long division. For each, we:
1. Estimate how many times the divisor fits into the dividend.
2. Multiply and subtract.
3. Find the quotient and remainder.
If you need the answers written in a specific format (e.g., just quotients, or with decimals), let me know!
Parent Tip: Review the logic above to help your child master the concept of division worksheet printables.
