Let’s solve each long division problem step by step. We’ll divide, find the quotient and remainder, then check our work by multiplying the divisor by the quotient and adding the remainder — it should equal the original dividend.
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Problem 1: 284 ÷ 6
Step 1: How many times does 6 go into 2? → 0
So look at 28.
6 × 4 = 24 → write 4 above the 8
Subtract: 28 - 24 = 4
Bring down the 4 → now we have 44
Step 2: How many times does 6 go into 44?
6 × 7 = 42 → write 7 above the 4
Subtract: 44 - 42 = 2 → that’s the remainder
Check: 6 × 47 = 282 + 2 = 284
✔
Answer:
47 R2
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Problem 2: 263 ÷ 9
Step 1: 9 into 2? → 0
Look at 26.
9 × 2 = 18 → write 2 above the 6
Subtract: 26 - 18 = 8
Bring down the 3 → 83
Step 2: 9 into 83?
9 × 9 = 81 → write 9 above the 3
Subtract: 83 - 81 = 2 → remainder
Check: 9 × 29 = 261 + 2 = 263
✔
Answer:
29 R2
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Problem 3: 271 ÷ 2
Step 1: 2 into 2 → 1
Write 1 above the first 2
Subtract: 2 - 2 = 0
Bring down 7 → 07
Step 2: 2 into 7 → 3 (since 2×3=6)
Write 3 above the 7
Subtract: 7 - 6 = 1
Bring down 1 → 11
Step 3: 2 into 11 → 5 (2×5=10)
Write 5 above the 1
Subtract: 11 - 10 = 1 → remainder
Check: 2 × 135 = 270 + 1 = 271
✔
Answer:
135 R1
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Problem 4: 178 ÷ 4
Step 1: 4 into 1? → 0
Look at 17.
4 × 4 = 16 → write 4 above the 7
Subtract: 17 - 16 = 1
Bring down 8 → 18
Step 2: 4 into 18 → 4 (4×4=16)
Write 4 above the 8
Subtract: 18 - 16 = 2 → remainder
Check: 4 × 44 = 176 + 2 = 178
✔
Answer:
44 R2
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Problem 5: 205 ÷ 3
Step 1: 3 into 2? → 0
Look at 20.
3 × 6 = 18 → write 6 above the 0
Subtract: 20 - 18 = 2
Bring down 5 → 25
Step 2: 3 into 25 → 8 (3×8=24)
Write 8 above the 5
Subtract: 25 - 24 = 1 → remainder
Check: 3 × 68 = 204 + 1 = 205
✔
Answer:
68 R1
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Problem 6: 184 ÷ 7
Step 1: 7 into 1? → 0
Look at 18.
7 × 2 = 14 → write 2 above the 8
Subtract: 18 - 14 = 4
Bring down 4 → 44
Step 2: 7 into 44 → 6 (7×6=42)
Write 6 above the 4
Subtract: 44 - 42 = 2 → remainder
Check: 7 × 26 = 182 + 2 = 184
✔
Answer:
26 R2
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Final Answer:
1. 47 R2
2. 29 R2
3. 135 R1
4. 44 R2
5. 68 R1
6. 26 R2
Parent Tip: Review the logic above to help your child master the concept of division with remainders worksheet to print.
