Grade 4 Division Worksheet 1: Solve the division equations with single-digit divisors.
Grade 4 division worksheet with 15 division problems, titled "Dividing numbers," featuring a red apple logo and space for a name.
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Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Division Worksheets | Free Worksheets | Printables
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Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Division Worksheets | Free Worksheets | Printables
Let’s solve each division problem step by step. We’ll go one at a time and check our work carefully.
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1. 369 ÷ 3
- 3 goes into 3 → 1
- Bring down 6 → 3 goes into 6 → 2
- Bring down 9 → 3 goes into 9 → 3
→ Answer: 123
Check: 3 × 123 = 369 ✔
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2. 844 ÷ 4
- 4 goes into 8 → 2
- Bring down 4 → 4 goes into 4 → 1
- Bring down 4 → 4 goes into 4 → 1
→ Answer: 211
Check: 4 × 211 = 844 ✔
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3. 628 ÷ 2
- 2 goes into 6 → 3
- Bring down 2 → 2 goes into 2 → 1
- Bring down 8 → 2 goes into 8 → 4
→ Answer: 314
Check: 2 × 314 = 628 ✔
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4. 575 ÷ 5
- 5 goes into 5 → 1
- Bring down 7 → 5 goes into 7 → 1 (remainder 2)
- Bring down 5 → makes 25 → 5 goes into 25 → 5
→ Answer: 115
Check: 5 × 115 = 575 ✔
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5. 672 ÷ 3
- 3 goes into 6 → 2
- Bring down 7 → 3 goes into 7 → 2 (remainder 1)
- Bring down 2 → makes 12 → 3 goes into 12 → 4
→ Answer: 224
Check: 3 × 224 = 672 ✔
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6. 528 ÷ 4
- 4 goes into 5 → 1 (remainder 1)
- Bring down 2 → makes 12 → 4 goes into 12 → 3
- Bring down 8 → 4 goes into 8 → 2
→ Answer: 132
Check: 4 × 132 = 528 ✔
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7. 462 ÷ 6
- 6 goes into 4 → 0, so look at 46
- 6 goes into 46 → 7 (6×7=42, remainder 4)
- Bring down 2 → makes 42 → 6 goes into 42 → 7
→ Answer: 77
Check: 6 × 77 = 462 ✔
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8. 825 ÷ 5
- 5 goes into 8 → 1 (remainder 3)
- Bring down 2 → makes 32 → 5 goes into 32 → 6 (5×6=30, remainder 2)
- Bring down 5 → makes 25 → 5 goes into 25 → 5
→ Answer: 165
Check: 5 × 165 = 825 ✔
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9. 124 ÷ 4
- 4 goes into 1 → 0, look at 12
- 4 goes into 12 → 3
- Bring down 4 → 4 goes into 4 → 1
→ Answer: 31
Check: 4 × 31 = 124 ✔
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10. 504 ÷ 7
- 7 goes into 5 → 0, look at 50
- 7 goes into 50 → 7 (7×7=49, remainder 1)
- Bring down 4 → makes 14 → 7 goes into 14 → 2
→ Answer: 72
Check: 7 × 72 = 504 ✔
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11. 825 ÷ 3
- 3 goes into 8 → 2 (remainder 2)
- Bring down 2 → makes 22 → 3 goes into 22 → 7 (3×7=21, remainder 1)
- Bring down 5 → makes 15 → 3 goes into 15 → 5
→ Answer: 275
Check: 3 × 275 = 825 ✔
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12. 384 ÷ 6
- 6 goes into 3 → 0, look at 38
- 6 goes into 38 → 6 (6×6=36, remainder 2)
- Bring down 4 → makes 24 → 6 goes into 24 → 4
→ Answer: 64
Check: 6 × 64 = 384 ✔
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13. 877 ÷ 5
- 5 goes into 8 → 1 (remainder 3)
- Bring down 7 → makes 37 → 5 goes into 37 → 7 (5×7=35, remainder 2)
- Bring down 7 → makes 27 → 5 goes into 27 → 5 (5×5=25, remainder 2)
→ Answer: 175 with remainder 2, or as decimal: 175.4 — but since this is whole number division, we write quotient and remainder.
But looking at the worksheet style, it seems to expect whole number answers only if divisible. Let’s double-check:
Wait — 5 × 175 = 875 → 877 - 875 = 2 → So yes, 175 R2
But let’s see if maybe I misread? No, 877 ÷ 5 is not exact.
However, in many Grade 4 worksheets, they may still want the full answer including remainder. But looking back at other problems — all others were exact divisions. Did I make a mistake?
Wait — 877 ÷ 5:
Actually, let me recalculate:
5 × 175 = 875 → 877 - 875 = 2 → Correct.
But perhaps the problem expects us to write “175 R2” or just the quotient? Since the instruction says “Solve the equation”, and these are long division setups, likely they expect the full quotient with remainder if needed.
But let’s check problem 14 and 15 too.
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14. 649 ÷ 8
- 8 goes into 6 → 0, look at 64
- 8 goes into 64 → 8
- Bring down 9 → 8 goes into 9 → 1 (remainder 1)
→ Answer: 81 R1
Check: 8 × 81 = 648 → 649 - 648 = 1 ✔
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15. 185 ÷ 7
- 7 goes into 1 → 0, look at 18
- 7 goes into 18 → 2 (7×2=14, remainder 4)
- Bring down 5 → makes 45 → 7 goes into 45 → 6 (7×6=42, remainder 3)
→ Answer: 26 R3
Check: 7 × 26 = 182 → 185 - 182 = 3 ✔
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So for problems 13, 14, and 15, there are remainders. That’s okay — sometimes division doesn’t come out even.
But let’s confirm if the worksheet expects remainders written or just the quotient. Since it says “Solve the equation”, and in long division format, typically you write the quotient and note the remainder if any.
In most elementary worksheets, they’d write something like:
For #13: 175 R2
For #14: 81 R1
For #15: 26 R3
Alternatively, some might write fractions or decimals, but given the level (Grade 4), remainders are expected.
Now, compiling all final answers:
Final Answer:
1. 123
2. 211
3. 314
4. 115
5. 224
6. 132
7. 77
8. 165
9. 31
10. 72
11. 275
12. 64
13. 175 R2
14. 81 R1
15. 26 R3
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1. 369 ÷ 3
- 3 goes into 3 → 1
- Bring down 6 → 3 goes into 6 → 2
- Bring down 9 → 3 goes into 9 → 3
→ Answer: 123
Check: 3 × 123 = 369 ✔
---
2. 844 ÷ 4
- 4 goes into 8 → 2
- Bring down 4 → 4 goes into 4 → 1
- Bring down 4 → 4 goes into 4 → 1
→ Answer: 211
Check: 4 × 211 = 844 ✔
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3. 628 ÷ 2
- 2 goes into 6 → 3
- Bring down 2 → 2 goes into 2 → 1
- Bring down 8 → 2 goes into 8 → 4
→ Answer: 314
Check: 2 × 314 = 628 ✔
---
4. 575 ÷ 5
- 5 goes into 5 → 1
- Bring down 7 → 5 goes into 7 → 1 (remainder 2)
- Bring down 5 → makes 25 → 5 goes into 25 → 5
→ Answer: 115
Check: 5 × 115 = 575 ✔
---
5. 672 ÷ 3
- 3 goes into 6 → 2
- Bring down 7 → 3 goes into 7 → 2 (remainder 1)
- Bring down 2 → makes 12 → 3 goes into 12 → 4
→ Answer: 224
Check: 3 × 224 = 672 ✔
---
6. 528 ÷ 4
- 4 goes into 5 → 1 (remainder 1)
- Bring down 2 → makes 12 → 4 goes into 12 → 3
- Bring down 8 → 4 goes into 8 → 2
→ Answer: 132
Check: 4 × 132 = 528 ✔
---
7. 462 ÷ 6
- 6 goes into 4 → 0, so look at 46
- 6 goes into 46 → 7 (6×7=42, remainder 4)
- Bring down 2 → makes 42 → 6 goes into 42 → 7
→ Answer: 77
Check: 6 × 77 = 462 ✔
---
8. 825 ÷ 5
- 5 goes into 8 → 1 (remainder 3)
- Bring down 2 → makes 32 → 5 goes into 32 → 6 (5×6=30, remainder 2)
- Bring down 5 → makes 25 → 5 goes into 25 → 5
→ Answer: 165
Check: 5 × 165 = 825 ✔
---
9. 124 ÷ 4
- 4 goes into 1 → 0, look at 12
- 4 goes into 12 → 3
- Bring down 4 → 4 goes into 4 → 1
→ Answer: 31
Check: 4 × 31 = 124 ✔
---
10. 504 ÷ 7
- 7 goes into 5 → 0, look at 50
- 7 goes into 50 → 7 (7×7=49, remainder 1)
- Bring down 4 → makes 14 → 7 goes into 14 → 2
→ Answer: 72
Check: 7 × 72 = 504 ✔
---
11. 825 ÷ 3
- 3 goes into 8 → 2 (remainder 2)
- Bring down 2 → makes 22 → 3 goes into 22 → 7 (3×7=21, remainder 1)
- Bring down 5 → makes 15 → 3 goes into 15 → 5
→ Answer: 275
Check: 3 × 275 = 825 ✔
---
12. 384 ÷ 6
- 6 goes into 3 → 0, look at 38
- 6 goes into 38 → 6 (6×6=36, remainder 2)
- Bring down 4 → makes 24 → 6 goes into 24 → 4
→ Answer: 64
Check: 6 × 64 = 384 ✔
---
13. 877 ÷ 5
- 5 goes into 8 → 1 (remainder 3)
- Bring down 7 → makes 37 → 5 goes into 37 → 7 (5×7=35, remainder 2)
- Bring down 7 → makes 27 → 5 goes into 27 → 5 (5×5=25, remainder 2)
→ Answer: 175 with remainder 2, or as decimal: 175.4 — but since this is whole number division, we write quotient and remainder.
But looking at the worksheet style, it seems to expect whole number answers only if divisible. Let’s double-check:
Wait — 5 × 175 = 875 → 877 - 875 = 2 → So yes, 175 R2
But let’s see if maybe I misread? No, 877 ÷ 5 is not exact.
However, in many Grade 4 worksheets, they may still want the full answer including remainder. But looking back at other problems — all others were exact divisions. Did I make a mistake?
Wait — 877 ÷ 5:
Actually, let me recalculate:
5 × 175 = 875 → 877 - 875 = 2 → Correct.
But perhaps the problem expects us to write “175 R2” or just the quotient? Since the instruction says “Solve the equation”, and these are long division setups, likely they expect the full quotient with remainder if needed.
But let’s check problem 14 and 15 too.
---
14. 649 ÷ 8
- 8 goes into 6 → 0, look at 64
- 8 goes into 64 → 8
- Bring down 9 → 8 goes into 9 → 1 (remainder 1)
→ Answer: 81 R1
Check: 8 × 81 = 648 → 649 - 648 = 1 ✔
---
15. 185 ÷ 7
- 7 goes into 1 → 0, look at 18
- 7 goes into 18 → 2 (7×2=14, remainder 4)
- Bring down 5 → makes 45 → 7 goes into 45 → 6 (7×6=42, remainder 3)
→ Answer: 26 R3
Check: 7 × 26 = 182 → 185 - 182 = 3 ✔
---
So for problems 13, 14, and 15, there are remainders. That’s okay — sometimes division doesn’t come out even.
But let’s confirm if the worksheet expects remainders written or just the quotient. Since it says “Solve the equation”, and in long division format, typically you write the quotient and note the remainder if any.
In most elementary worksheets, they’d write something like:
For #13: 175 R2
For #14: 81 R1
For #15: 26 R3
Alternatively, some might write fractions or decimals, but given the level (Grade 4), remainders are expected.
Now, compiling all final answers:
Final Answer:
1. 123
2. 211
3. 314
4. 115
5. 224
6. 132
7. 77
8. 165
9. 31
10. 72
11. 275
12. 64
13. 175 R2
14. 81 R1
15. 26 R3
Parent Tip: Review the logic above to help your child master the concept of dividing by 4 worksheet.
