Printable math worksheet for practicing division with remainders.
Four-digit by two-digit division problems with remainders, worksheet with multiple math exercises.
JPG
474×613
17.9 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #410476
⭐
Show Answer Key & Explanations
Step-by-step solution for: Division With Three Digit Numbers Printables | Math | Long ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Division With Three Digit Numbers Printables | Math | Long ...
Let’s solve each division problem step by step. We’ll divide the 4-digit number by the 2-digit number and find the quotient and remainder for each.
We’ll go row by row, left to right.
---
Row 1:
1. 6464 ÷ 54
- 54 × 100 = 5400 → too small
- 54 × 120 = 6480 → too big (over 6464)
- Try 54 × 119 = 54×(120-1) = 6480 - 54 = 6426
- 6464 - 6426 = 38
→ Quotient: 119, Remainder: 38
2. 1659 ÷ 51
- 51 × 30 = 1530
- 1659 - 1530 = 129
- 51 × 2 = 102 → 129 - 102 = 27
- Total: 30 + 2 = 32, remainder 27
→ Quotient: 32, Remainder: 27
3. 3289 ÷ 92
- 92 × 30 = 2760
- 3289 - 2760 = 529
- 92 × 5 = 460 → 529 - 460 = 69
- Total: 30 + 5 = 35, remainder 69
→ Quotient: 35, Remainder: 69
4. 3665 ÷ 39
- 39 × 90 = 3510
- 3665 - 3510 = 155
- 39 × 3 = 117 → 155 - 117 = 38
- Total: 90 + 3 = 93, remainder 38
→ Quotient: 93, Remainder: 38
5. 2749 ÷ 98
- 98 × 20 = 1960
- 2749 - 1960 = 789
- 98 × 8 = 784 → 789 - 784 = 5
- Total: 20 + 8 = 28, remainder 5
→ Quotient: 28, Remainder: 5
---
Row 2:
6. 3953 ÷ 17
- 17 × 200 = 3400
- 3953 - 3400 = 553
- 17 × 30 = 510 → 553 - 510 = 43
- 17 × 2 = 34 → 43 - 34 = 9
- Total: 200 + 30 + 2 = 232, remainder 9
→ Quotient: 232, Remainder: 9
7. 1984 ÷ 85
- 85 × 20 = 1700
- 1984 - 1700 = 284
- 85 × 3 = 255 → 284 - 255 = 29
- Total: 20 + 3 = 23, remainder 29
→ Quotient: 23, Remainder: 29
8. 5411 ÷ 76
- 76 × 70 = 5320
- 5411 - 5320 = 91
- 76 × 1 = 76 → 91 - 76 = 15
- Total: 70 + 1 = 71, remainder 15
→ Quotient: 71, Remainder: 15
9. 5610 ÷ 11
- 11 × 500 = 5500
- 5610 - 5500 = 110
- 11 × 10 = 110 → exactly!
- Total: 500 + 10 = 510, remainder 0
→ Quotient: 510, Remainder: 0
10. 1291 ÷ 15
- 15 × 80 = 1200
- 1291 - 1200 = 91
- 15 × 6 = 90 → 91 - 90 = 1
- Total: 80 + 6 = 86, remainder 1
→ Quotient: 86, Remainder: 1
---
Row 3:
11. 4228 ÷ 59
- 59 × 70 = 4130
- 4228 - 4130 = 98
- 59 × 1 = 59 → 98 - 59 = 39
- Total: 70 + 1 = 71, remainder 39
→ Quotient: 71, Remainder: 39
12. 9025 ÷ 44
- 44 × 200 = 8800
- 9025 - 8800 = 225
- 44 × 5 = 220 → 225 - 220 = 5
- Total: 200 + 5 = 205, remainder 5
→ Quotient: 205, Remainder: 5
13. 2025 ÷ 44
- 44 × 40 = 1760
- 2025 - 1760 = 265
- 44 × 6 = 264 → 265 - 264 = 1
- Total: 40 + 6 = 46, remainder 1
→ Quotient: 46, Remainder: 1
14. 5906 ÷ 99
- 99 × 50 = 4950
- 5906 - 4950 = 956
- 99 × 9 = 891 → 956 - 891 = 65
- Total: 50 + 9 = 59, remainder 65
→ Quotient: 59, Remainder: 65
15. 7130 ÷ 44
- 44 × 160 = 7040
- 7130 - 7040 = 90
- 44 × 2 = 88 → 90 - 88 = 2
- Total: 160 + 2 = 162, remainder 2
→ Quotient: 162, Remainder: 2
---
Row 4:
16. 6533 ÷ 13
- 13 × 500 = 6500
- 6533 - 6500 = 33
- 13 × 2 = 26 → 33 - 26 = 7
- Total: 500 + 2 = 502, remainder 7
→ Quotient: 502, Remainder: 7
17. 1875 ÷ 29
- 29 × 60 = 1740
- 1875 - 1740 = 135
- 29 × 4 = 116 → 135 - 116 = 19
- Total: 60 + 4 = 64, remainder 19
→ Quotient: 64, Remainder: 19
18. 4429 ÷ 99
- 99 × 40 = 3960
- 4429 - 3960 = 469
- 99 × 4 = 396 → 469 - 396 = 73
- Total: 40 + 4 = 44, remainder 73
→ Quotient: 44, Remainder: 73
19. 4630 ÷ 42
- 42 × 100 = 4200
- 4630 - 4200 = 430
- 42 × 10 = 420 → 430 - 420 = 10
- Total: 100 + 10 = 110, remainder 10
→ Quotient: 110, Remainder: 10
20. 8745 ÷ 73
- 73 × 100 = 7300
- 8745 - 7300 = 1445
- 73 × 19 = ? Let’s do 73×20=1460 → too big
- 73×19 = 1460 - 73 = 1387
- 1445 - 1387 = 58
- Total: 100 + 19 = 119, remainder 58
→ Quotient: 119, Remainder: 58
---
Row 5:
21. 6343 ÷ 58
- 58 × 100 = 5800
- 6343 - 5800 = 543
- 58 × 9 = 522 → 543 - 522 = 21
- Total: 100 + 9 = 109, remainder 21
→ Quotient: 109, Remainder: 21
22. 6442 ÷ 26
- 26 × 200 = 5200
- 6442 - 5200 = 1242
- 26 × 40 = 1040 → 1242 - 1040 = 202
- 26 × 7 = 182 → 202 - 182 = 20
- Total: 200 + 40 + 7 = 247, remainder 20
→ Quotient: 247, Remainder: 20
23. 1468 ÷ 95
- 95 × 10 = 950
- 1468 - 950 = 518
- 95 × 5 = 475 → 518 - 475 = 43
- Total: 10 + 5 = 15, remainder 43
→ Quotient: 15, Remainder: 43
24. 8871 ÷ 88
- 88 × 100 = 8800
- 8871 - 8800 = 71
- So quotient is 100, remainder 71
→ Quotient: 100, Remainder: 71
25. 4428 ÷ 41
- 41 × 100 = 4100
- 4428 - 4100 = 328
- 41 × 8 = 328 → exactly!
- Total: 100 + 8 = 108, remainder 0
→ Quotient: 108, Remainder: 0
---
Final Answer:
Here are all the answers in order (quotient R remainder):
1. 119 R 38
2. 32 R 27
3. 35 R 69
4. 93 R 38
5. 28 R 5
6. 232 R 9
7. 23 R 29
8. 71 R 15
9. 510 R 0
10. 86 R 1
11. 71 R 39
12. 205 R 5
13. 46 R 1
14. 59 R 65
15. 162 R 2
16. 502 R 7
17. 64 R 19
18. 44 R 73
19. 110 R 10
20. 119 R 58
21. 109 R 21
22. 247 R 20
23. 15 R 43
24. 100 R 71
25. 108 R 0
We’ll go row by row, left to right.
---
Row 1:
1. 6464 ÷ 54
- 54 × 100 = 5400 → too small
- 54 × 120 = 6480 → too big (over 6464)
- Try 54 × 119 = 54×(120-1) = 6480 - 54 = 6426
- 6464 - 6426 = 38
→ Quotient: 119, Remainder: 38
2. 1659 ÷ 51
- 51 × 30 = 1530
- 1659 - 1530 = 129
- 51 × 2 = 102 → 129 - 102 = 27
- Total: 30 + 2 = 32, remainder 27
→ Quotient: 32, Remainder: 27
3. 3289 ÷ 92
- 92 × 30 = 2760
- 3289 - 2760 = 529
- 92 × 5 = 460 → 529 - 460 = 69
- Total: 30 + 5 = 35, remainder 69
→ Quotient: 35, Remainder: 69
4. 3665 ÷ 39
- 39 × 90 = 3510
- 3665 - 3510 = 155
- 39 × 3 = 117 → 155 - 117 = 38
- Total: 90 + 3 = 93, remainder 38
→ Quotient: 93, Remainder: 38
5. 2749 ÷ 98
- 98 × 20 = 1960
- 2749 - 1960 = 789
- 98 × 8 = 784 → 789 - 784 = 5
- Total: 20 + 8 = 28, remainder 5
→ Quotient: 28, Remainder: 5
---
Row 2:
6. 3953 ÷ 17
- 17 × 200 = 3400
- 3953 - 3400 = 553
- 17 × 30 = 510 → 553 - 510 = 43
- 17 × 2 = 34 → 43 - 34 = 9
- Total: 200 + 30 + 2 = 232, remainder 9
→ Quotient: 232, Remainder: 9
7. 1984 ÷ 85
- 85 × 20 = 1700
- 1984 - 1700 = 284
- 85 × 3 = 255 → 284 - 255 = 29
- Total: 20 + 3 = 23, remainder 29
→ Quotient: 23, Remainder: 29
8. 5411 ÷ 76
- 76 × 70 = 5320
- 5411 - 5320 = 91
- 76 × 1 = 76 → 91 - 76 = 15
- Total: 70 + 1 = 71, remainder 15
→ Quotient: 71, Remainder: 15
9. 5610 ÷ 11
- 11 × 500 = 5500
- 5610 - 5500 = 110
- 11 × 10 = 110 → exactly!
- Total: 500 + 10 = 510, remainder 0
→ Quotient: 510, Remainder: 0
10. 1291 ÷ 15
- 15 × 80 = 1200
- 1291 - 1200 = 91
- 15 × 6 = 90 → 91 - 90 = 1
- Total: 80 + 6 = 86, remainder 1
→ Quotient: 86, Remainder: 1
---
Row 3:
11. 4228 ÷ 59
- 59 × 70 = 4130
- 4228 - 4130 = 98
- 59 × 1 = 59 → 98 - 59 = 39
- Total: 70 + 1 = 71, remainder 39
→ Quotient: 71, Remainder: 39
12. 9025 ÷ 44
- 44 × 200 = 8800
- 9025 - 8800 = 225
- 44 × 5 = 220 → 225 - 220 = 5
- Total: 200 + 5 = 205, remainder 5
→ Quotient: 205, Remainder: 5
13. 2025 ÷ 44
- 44 × 40 = 1760
- 2025 - 1760 = 265
- 44 × 6 = 264 → 265 - 264 = 1
- Total: 40 + 6 = 46, remainder 1
→ Quotient: 46, Remainder: 1
14. 5906 ÷ 99
- 99 × 50 = 4950
- 5906 - 4950 = 956
- 99 × 9 = 891 → 956 - 891 = 65
- Total: 50 + 9 = 59, remainder 65
→ Quotient: 59, Remainder: 65
15. 7130 ÷ 44
- 44 × 160 = 7040
- 7130 - 7040 = 90
- 44 × 2 = 88 → 90 - 88 = 2
- Total: 160 + 2 = 162, remainder 2
→ Quotient: 162, Remainder: 2
---
Row 4:
16. 6533 ÷ 13
- 13 × 500 = 6500
- 6533 - 6500 = 33
- 13 × 2 = 26 → 33 - 26 = 7
- Total: 500 + 2 = 502, remainder 7
→ Quotient: 502, Remainder: 7
17. 1875 ÷ 29
- 29 × 60 = 1740
- 1875 - 1740 = 135
- 29 × 4 = 116 → 135 - 116 = 19
- Total: 60 + 4 = 64, remainder 19
→ Quotient: 64, Remainder: 19
18. 4429 ÷ 99
- 99 × 40 = 3960
- 4429 - 3960 = 469
- 99 × 4 = 396 → 469 - 396 = 73
- Total: 40 + 4 = 44, remainder 73
→ Quotient: 44, Remainder: 73
19. 4630 ÷ 42
- 42 × 100 = 4200
- 4630 - 4200 = 430
- 42 × 10 = 420 → 430 - 420 = 10
- Total: 100 + 10 = 110, remainder 10
→ Quotient: 110, Remainder: 10
20. 8745 ÷ 73
- 73 × 100 = 7300
- 8745 - 7300 = 1445
- 73 × 19 = ? Let’s do 73×20=1460 → too big
- 73×19 = 1460 - 73 = 1387
- 1445 - 1387 = 58
- Total: 100 + 19 = 119, remainder 58
→ Quotient: 119, Remainder: 58
---
Row 5:
21. 6343 ÷ 58
- 58 × 100 = 5800
- 6343 - 5800 = 543
- 58 × 9 = 522 → 543 - 522 = 21
- Total: 100 + 9 = 109, remainder 21
→ Quotient: 109, Remainder: 21
22. 6442 ÷ 26
- 26 × 200 = 5200
- 6442 - 5200 = 1242
- 26 × 40 = 1040 → 1242 - 1040 = 202
- 26 × 7 = 182 → 202 - 182 = 20
- Total: 200 + 40 + 7 = 247, remainder 20
→ Quotient: 247, Remainder: 20
23. 1468 ÷ 95
- 95 × 10 = 950
- 1468 - 950 = 518
- 95 × 5 = 475 → 518 - 475 = 43
- Total: 10 + 5 = 15, remainder 43
→ Quotient: 15, Remainder: 43
24. 8871 ÷ 88
- 88 × 100 = 8800
- 8871 - 8800 = 71
- So quotient is 100, remainder 71
→ Quotient: 100, Remainder: 71
25. 4428 ÷ 41
- 41 × 100 = 4100
- 4428 - 4100 = 328
- 41 × 8 = 328 → exactly!
- Total: 100 + 8 = 108, remainder 0
→ Quotient: 108, Remainder: 0
---
Final Answer:
Here are all the answers in order (quotient R remainder):
1. 119 R 38
2. 32 R 27
3. 35 R 69
4. 93 R 38
5. 28 R 5
6. 232 R 9
7. 23 R 29
8. 71 R 15
9. 510 R 0
10. 86 R 1
11. 71 R 39
12. 205 R 5
13. 46 R 1
14. 59 R 65
15. 162 R 2
16. 502 R 7
17. 64 R 19
18. 44 R 73
19. 110 R 10
20. 119 R 58
21. 109 R 21
22. 247 R 20
23. 15 R 43
24. 100 R 71
25. 108 R 0
Parent Tip: Review the logic above to help your child master the concept of 3 digit division worksheet for grade 3.
