4-digit by 1-digit division worksheet with remainders, designed for math practice.
Math division worksheet with 4-digit by 1-digit division problems including remainders, featuring a red border, a "Math Genius!" logo, and an "Original" stamp.
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Show Answer Key & Explanations
Step-by-step solution for: Standard Division - With Remainder Worksheets and Exercise ...
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Show Answer Key & Explanations
Step-by-step solution for: Standard Division - With Remainder Worksheets and Exercise ...
Let’s solve each division problem step by step. We’re dividing 4-digit numbers by 1-digit numbers, and we need to find the quotient and remainder for each.
We’ll go row by row, left to right.
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First Row:
1. 6800 ÷ 6
- 6 goes into 6 → 1 (write 1)
- Bring down 8 → 6 goes into 8 → 1, remainder 2
- Bring down 0 → 20 → 6 goes into 20 → 3, remainder 2
- Bring down 0 → 20 → 6 goes into 20 → 3, remainder 2
→ Quotient: 1133, Remainder: 2
✔ Check: 6 × 1133 = 6798; 6798 + 2 = 6800 ✔️
2. 3520 ÷ 2
- 2 into 3 → 1, rem 1
- Bring down 5 → 15 → 2 into 15 → 7, rem 1
- Bring down 2 → 12 → 2 into 12 → 6, rem 0
- Bring down 0 → 0 → 2 into 0 → 0
→ Quotient: 1760, Remainder: 0
✔ Check: 2 × 1760 = 3520 ✔️
3. 4511 ÷ 2
- 2 into 4 → 2
- Bring down 5 → 5 → 2 into 5 → 2, rem 1
- Bring down 1 → 11 → 2 into 11 → 5, rem 1
- Bring down 1 → 11 → 2 into 11 → 5, rem 1
→ Quotient: 2255, Remainder: 1
✔ Check: 2 × 2255 = 4510; 4510 + 1 = 4511 ✔️
4. 6220 ÷ 8
- 8 into 6 → 0, so take 62
- 8 into 62 → 7 (8×7=56), rem 6
- Bring down 2 → 62 → 8 into 62 → 7, rem 6
- Bring down 0 → 60 → 8 into 60 → 7, rem 4
→ Quotient: 777, Remainder: 4
✔ Check: 8 × 777 = 6216; 6216 + 4 = 6220 ✔️
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Second Row:
5. 2863 ÷ 4
- 4 into 2 → 0, take 28
- 4 into 28 → 7
- Bring down 6 → 6 → 4 into 6 → 1, rem 2
- Bring down 3 → 23 → 4 into 23 → 5, rem 3
→ Quotient: 715, Remainder: 3
✔ Check: 4 × 715 = 2860; 2860 + 3 = 2863 ✔️
6. 5517 ÷ 7
- 7 into 5 → 0, take 55
- 7 into 55 → 7 (7×7=49), rem 6
- Bring down 1 → 61 → 7 into 61 → 8 (7×8=56), rem 5
- Bring down 7 → 57 → 7 into 57 → 8 (7×8=56), rem 1
→ Quotient: 788, Remainder: 1
✔ Check: 7 × 788 = 5516; 5516 + 1 = 5517 ✔️
7. 3224 ÷ 9
- 9 into 3 → 0, take 32
- 9 into 32 → 3 (9×3=27), rem 5
- Bring down 2 → 52 → 9 into 52 → 5 (9×5=45), rem 7
- Bring down 4 → 74 → 9 into 74 → 8 (9×8=72), rem 2
→ Quotient: 358, Remainder: 2
✔ Check: 9 × 358 = 3222; 3222 + 2 = 3224 ✔️
8. 1503 ÷ 5
- 5 into 1 → 0, take 15
- 5 into 15 → 3
- Bring down 0 → 0 → 5 into 0 → 0
- Bring down 3 → 3 → 5 into 3 → 0, rem 3
→ Quotient: 300, Remainder: 3
✔ Check: 5 × 300 = 1500; 1500 + 3 = 1503 ✔️
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Third Row:
9. 3346 ÷ 3
- 3 into 3 → 1
- Bring down 3 → 3 → 3 into 3 → 1
- Bring down 4 → 4 → 3 into 4 → 1, rem 1
- Bring down 6 → 16 → 3 into 16 → 5, rem 1
→ Quotient: 1115, Remainder: 1
✔ Check: 3 × 1115 = 3345; 3345 + 1 = 3346 ✔️
10. 2085 ÷ 4
- 4 into 2 → 0, take 20
- 4 into 20 → 5
- Bring down 8 → 8 → 4 into 8 → 2
- Bring down 5 → 5 → 4 into 5 → 1, rem 1
→ Quotient: 521, Remainder: 1
✔ Check: 4 × 521 = 2084; 2084 + 1 = 2085 ✔️
11. 3347 ÷ 2
- 2 into 3 → 1, rem 1
- Bring down 3 → 13 → 2 into 13 → 6, rem 1
- Bring down 4 → 14 → 2 into 14 → 7
- Bring down 7 → 7 → 2 into 7 → 3, rem 1
→ Quotient: 1673, Remainder: 1
✔ Check: 2 × 1673 = 3346; 3346 + 1 = 3347 ✔️
12. 6151 ÷ 8
- 8 into 6 → 0, take 61
- 8 into 61 → 7 (8×7=56), rem 5
- Bring down 5 → 55 → 8 into 55 → 6 (8×6=48), rem 7
- Bring down 1 → 71 → 8 into 71 → 8 (8×8=64), rem 7
→ Quotient: 768, Remainder: 7
✔ Check: 8 × 768 = 6144; 6144 + 7 = 6151 ✔️
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Fourth Row:
13. 5158 ÷ 5
- 5 into 5 → 1
- Bring down 1 → 1 → 5 into 1 → 0, rem 1
- Bring down 5 → 15 → 5 into 15 → 3
- Bring down 8 → 8 → 5 into 8 → 1, rem 3
→ Quotient: 1031, Remainder: 3
✔ Check: 5 × 1031 = 5155; 5155 + 3 = 5158 ✔️
14. 4680 ÷ 7
- 7 into 4 → 0, take 46
- 7 into 46 → 6 (7×6=42), rem 4
- Bring down 8 → 48 → 7 into 48 → 6 (7×6=42), rem 6
- Bring down 0 → 60 → 7 into 60 → 8 (7×8=56), rem 4
→ Quotient: 668, Remainder: 4
✔ Check: 7 × 668 = 4676; 4676 + 4 = 4680 ✔️
15. 4595 ÷ 9
- 9 into 4 → 0, take 45
- 9 into 45 → 5
- Bring down 9 → 9 → 9 into 9 → 1
- Bring down 5 → 5 → 9 into 5 → 0, rem 5
→ Quotient: 510, Remainder: 5
✔ Check: 9 × 510 = 4590; 4590 + 5 = 4595 ✔️
16. 5034 ÷ 4
- 4 into 5 → 1, rem 1
- Bring down 0 → 10 → 4 into 10 → 2, rem 2
- Bring down 3 → 23 → 4 into 23 → 5, rem 3
- Bring down 4 → 34 → 4 into 34 → 8, rem 2
→ Quotient: 1258, Remainder: 2
✔ Check: 4 × 1258 = 5032; 5032 + 2 = 5034 ✔️
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Fifth Row:
17. 1775 ÷ 3
- 3 into 1 → 0, take 17
- 3 into 17 → 5 (3×5=15), rem 2
- Bring down 7 → 27 → 3 into 27 → 9
- Bring down 5 → 5 → 3 into 5 → 1, rem 2
→ Quotient: 591, Remainder: 2
✔ Check: 3 × 591 = 1773; 1773 + 2 = 1775 ✔️
18. 4690 ÷ 6
- 6 into 4 → 0, take 46
- 6 into 46 → 7 (6×7=42), rem 4
- Bring down 9 → 49 → 6 into 49 → 8 (6×8=48), rem 1
- Bring down 0 → 10 → 6 into 10 → 1, rem 4
→ Quotient: 781, Remainder: 4
✔ Check: 6 × 781 = 4686; 4686 + 4 = 4690 ✔️
19. 7948 ÷ 2
- 2 into 7 → 3, rem 1
- Bring down 9 → 19 → 2 into 19 → 9, rem 1
- Bring down 4 → 14 → 2 into 14 → 7
- Bring down 8 → 8 → 2 into 8 → 4
→ Quotient: 3974, Remainder: 0
✔ Check: 2 × 3974 = 7948 ✔️
20. 1981 ÷ 4
- 4 into 1 → 0, take 19
- 4 into 19 → 4 (4×4=16), rem 3
- Bring down 8 → 38 → 4 into 38 → 9 (4×9=36), rem 2
- Bring down 1 → 21 → 4 into 21 → 5, rem 1
→ Quotient: 495, Remainder: 1
✔ Check: 4 × 495 = 1980; 1980 + 1 = 1981 ✔️
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Final Answer:
Here are all the answers in order (row by row, left to right):
Row 1:
6800 ÷ 6 = 1133 R2
3520 ÷ 2 = 1760 R0
4511 ÷ 2 = 2255 R1
6220 ÷ 8 = 777 R4
Row 2:
2863 ÷ 4 = 715 R3
5517 ÷ 7 = 788 R1
3224 ÷ 9 = 358 R2
1503 ÷ 5 = 300 R3
Row 3:
3346 ÷ 3 = 1115 R1
2085 ÷ 4 = 521 R1
3347 ÷ 2 = 1673 R1
6151 ÷ 8 = 768 R7
Row 4:
5158 ÷ 5 = 1031 R3
4680 ÷ 7 = 668 R4
4595 ÷ 9 = 510 R5
5034 ÷ 4 = 1258 R2
Row 5:
1775 ÷ 3 = 591 R2
4690 ÷ 6 = 781 R4
7948 ÷ 2 = 3974 R0
1981 ÷ 4 = 495 R1
We’ll go row by row, left to right.
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First Row:
1. 6800 ÷ 6
- 6 goes into 6 → 1 (write 1)
- Bring down 8 → 6 goes into 8 → 1, remainder 2
- Bring down 0 → 20 → 6 goes into 20 → 3, remainder 2
- Bring down 0 → 20 → 6 goes into 20 → 3, remainder 2
→ Quotient: 1133, Remainder: 2
✔ Check: 6 × 1133 = 6798; 6798 + 2 = 6800 ✔️
2. 3520 ÷ 2
- 2 into 3 → 1, rem 1
- Bring down 5 → 15 → 2 into 15 → 7, rem 1
- Bring down 2 → 12 → 2 into 12 → 6, rem 0
- Bring down 0 → 0 → 2 into 0 → 0
→ Quotient: 1760, Remainder: 0
✔ Check: 2 × 1760 = 3520 ✔️
3. 4511 ÷ 2
- 2 into 4 → 2
- Bring down 5 → 5 → 2 into 5 → 2, rem 1
- Bring down 1 → 11 → 2 into 11 → 5, rem 1
- Bring down 1 → 11 → 2 into 11 → 5, rem 1
→ Quotient: 2255, Remainder: 1
✔ Check: 2 × 2255 = 4510; 4510 + 1 = 4511 ✔️
4. 6220 ÷ 8
- 8 into 6 → 0, so take 62
- 8 into 62 → 7 (8×7=56), rem 6
- Bring down 2 → 62 → 8 into 62 → 7, rem 6
- Bring down 0 → 60 → 8 into 60 → 7, rem 4
→ Quotient: 777, Remainder: 4
✔ Check: 8 × 777 = 6216; 6216 + 4 = 6220 ✔️
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Second Row:
5. 2863 ÷ 4
- 4 into 2 → 0, take 28
- 4 into 28 → 7
- Bring down 6 → 6 → 4 into 6 → 1, rem 2
- Bring down 3 → 23 → 4 into 23 → 5, rem 3
→ Quotient: 715, Remainder: 3
✔ Check: 4 × 715 = 2860; 2860 + 3 = 2863 ✔️
6. 5517 ÷ 7
- 7 into 5 → 0, take 55
- 7 into 55 → 7 (7×7=49), rem 6
- Bring down 1 → 61 → 7 into 61 → 8 (7×8=56), rem 5
- Bring down 7 → 57 → 7 into 57 → 8 (7×8=56), rem 1
→ Quotient: 788, Remainder: 1
✔ Check: 7 × 788 = 5516; 5516 + 1 = 5517 ✔️
7. 3224 ÷ 9
- 9 into 3 → 0, take 32
- 9 into 32 → 3 (9×3=27), rem 5
- Bring down 2 → 52 → 9 into 52 → 5 (9×5=45), rem 7
- Bring down 4 → 74 → 9 into 74 → 8 (9×8=72), rem 2
→ Quotient: 358, Remainder: 2
✔ Check: 9 × 358 = 3222; 3222 + 2 = 3224 ✔️
8. 1503 ÷ 5
- 5 into 1 → 0, take 15
- 5 into 15 → 3
- Bring down 0 → 0 → 5 into 0 → 0
- Bring down 3 → 3 → 5 into 3 → 0, rem 3
→ Quotient: 300, Remainder: 3
✔ Check: 5 × 300 = 1500; 1500 + 3 = 1503 ✔️
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Third Row:
9. 3346 ÷ 3
- 3 into 3 → 1
- Bring down 3 → 3 → 3 into 3 → 1
- Bring down 4 → 4 → 3 into 4 → 1, rem 1
- Bring down 6 → 16 → 3 into 16 → 5, rem 1
→ Quotient: 1115, Remainder: 1
✔ Check: 3 × 1115 = 3345; 3345 + 1 = 3346 ✔️
10. 2085 ÷ 4
- 4 into 2 → 0, take 20
- 4 into 20 → 5
- Bring down 8 → 8 → 4 into 8 → 2
- Bring down 5 → 5 → 4 into 5 → 1, rem 1
→ Quotient: 521, Remainder: 1
✔ Check: 4 × 521 = 2084; 2084 + 1 = 2085 ✔️
11. 3347 ÷ 2
- 2 into 3 → 1, rem 1
- Bring down 3 → 13 → 2 into 13 → 6, rem 1
- Bring down 4 → 14 → 2 into 14 → 7
- Bring down 7 → 7 → 2 into 7 → 3, rem 1
→ Quotient: 1673, Remainder: 1
✔ Check: 2 × 1673 = 3346; 3346 + 1 = 3347 ✔️
12. 6151 ÷ 8
- 8 into 6 → 0, take 61
- 8 into 61 → 7 (8×7=56), rem 5
- Bring down 5 → 55 → 8 into 55 → 6 (8×6=48), rem 7
- Bring down 1 → 71 → 8 into 71 → 8 (8×8=64), rem 7
→ Quotient: 768, Remainder: 7
✔ Check: 8 × 768 = 6144; 6144 + 7 = 6151 ✔️
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Fourth Row:
13. 5158 ÷ 5
- 5 into 5 → 1
- Bring down 1 → 1 → 5 into 1 → 0, rem 1
- Bring down 5 → 15 → 5 into 15 → 3
- Bring down 8 → 8 → 5 into 8 → 1, rem 3
→ Quotient: 1031, Remainder: 3
✔ Check: 5 × 1031 = 5155; 5155 + 3 = 5158 ✔️
14. 4680 ÷ 7
- 7 into 4 → 0, take 46
- 7 into 46 → 6 (7×6=42), rem 4
- Bring down 8 → 48 → 7 into 48 → 6 (7×6=42), rem 6
- Bring down 0 → 60 → 7 into 60 → 8 (7×8=56), rem 4
→ Quotient: 668, Remainder: 4
✔ Check: 7 × 668 = 4676; 4676 + 4 = 4680 ✔️
15. 4595 ÷ 9
- 9 into 4 → 0, take 45
- 9 into 45 → 5
- Bring down 9 → 9 → 9 into 9 → 1
- Bring down 5 → 5 → 9 into 5 → 0, rem 5
→ Quotient: 510, Remainder: 5
✔ Check: 9 × 510 = 4590; 4590 + 5 = 4595 ✔️
16. 5034 ÷ 4
- 4 into 5 → 1, rem 1
- Bring down 0 → 10 → 4 into 10 → 2, rem 2
- Bring down 3 → 23 → 4 into 23 → 5, rem 3
- Bring down 4 → 34 → 4 into 34 → 8, rem 2
→ Quotient: 1258, Remainder: 2
✔ Check: 4 × 1258 = 5032; 5032 + 2 = 5034 ✔️
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Fifth Row:
17. 1775 ÷ 3
- 3 into 1 → 0, take 17
- 3 into 17 → 5 (3×5=15), rem 2
- Bring down 7 → 27 → 3 into 27 → 9
- Bring down 5 → 5 → 3 into 5 → 1, rem 2
→ Quotient: 591, Remainder: 2
✔ Check: 3 × 591 = 1773; 1773 + 2 = 1775 ✔️
18. 4690 ÷ 6
- 6 into 4 → 0, take 46
- 6 into 46 → 7 (6×7=42), rem 4
- Bring down 9 → 49 → 6 into 49 → 8 (6×8=48), rem 1
- Bring down 0 → 10 → 6 into 10 → 1, rem 4
→ Quotient: 781, Remainder: 4
✔ Check: 6 × 781 = 4686; 4686 + 4 = 4690 ✔️
19. 7948 ÷ 2
- 2 into 7 → 3, rem 1
- Bring down 9 → 19 → 2 into 19 → 9, rem 1
- Bring down 4 → 14 → 2 into 14 → 7
- Bring down 8 → 8 → 2 into 8 → 4
→ Quotient: 3974, Remainder: 0
✔ Check: 2 × 3974 = 7948 ✔️
20. 1981 ÷ 4
- 4 into 1 → 0, take 19
- 4 into 19 → 4 (4×4=16), rem 3
- Bring down 8 → 38 → 4 into 38 → 9 (4×9=36), rem 2
- Bring down 1 → 21 → 4 into 21 → 5, rem 1
→ Quotient: 495, Remainder: 1
✔ Check: 4 × 495 = 1980; 1980 + 1 = 1981 ✔️
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Final Answer:
Here are all the answers in order (row by row, left to right):
Row 1:
6800 ÷ 6 = 1133 R2
3520 ÷ 2 = 1760 R0
4511 ÷ 2 = 2255 R1
6220 ÷ 8 = 777 R4
Row 2:
2863 ÷ 4 = 715 R3
5517 ÷ 7 = 788 R1
3224 ÷ 9 = 358 R2
1503 ÷ 5 = 300 R3
Row 3:
3346 ÷ 3 = 1115 R1
2085 ÷ 4 = 521 R1
3347 ÷ 2 = 1673 R1
6151 ÷ 8 = 768 R7
Row 4:
5158 ÷ 5 = 1031 R3
4680 ÷ 7 = 668 R4
4595 ÷ 9 = 510 R5
5034 ÷ 4 = 1258 R2
Row 5:
1775 ÷ 3 = 591 R2
4690 ÷ 6 = 781 R4
7948 ÷ 2 = 3974 R0
1981 ÷ 4 = 495 R1
Parent Tip: Review the logic above to help your child master the concept of 2 digit by 1 digit division with remainders worksheet.
