Let’s solve each division problem step by step. We’ll go one at a time, from 1a to 4c.
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1a. 31 ÷ 5
How many times does 5 go into 31?
5 × 6 = 30 → that’s the biggest multiple of 5 under 31.
31 - 30 = 1 → remainder is 1.
Answer:
6 R1
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1b. 10 ÷ 5
5 goes into 10 exactly 2 times.
5 × 2 = 10 → no remainder.
Answer:
2
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1c. 21 ÷ 6
6 × 3 = 18 → closest under 21.
21 - 18 = 3 → remainder 3.
Answer:
3 R3
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2a. 38 ÷ 4
4 × 9 = 36 → closest under 38.
38 - 36 = 2 → remainder 2.
Answer:
9 R2
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2b. 20 ÷ 6
6 × 3 = 18 → closest under 20.
20 - 18 = 2 → remainder 2.
Answer:
3 R2
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2c. 4 ÷ 3
3 × 1 = 3 → closest under 4.
4 - 3 = 1 → remainder 1.
Answer:
1 R1
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3a. 29 ÷ 6
6 × 4 = 24 → too low? Wait, 6 × 5 = 30 → too big!
So 6 × 4 = 24 → 29 - 24 = 5 → remainder 5.
Wait — let me check again:
6 × 4 = 24 → 29 - 24 = 5 → yes.
But actually, 6 × 4 = 24, and 6 × 5 = 30 (too big), so quotient is 4, remainder 5.
Answer:
4 R5
Wait — correction! Let me recalculate:
Actually, 6 × 4 = 24 → 29 - 24 = 5 → correct.
But wait — I think I made a mistake earlier in my head. Let me write it clearly:
Dividend: 29
Divisor: 6
6 × 4 = 24 → subtract from 29 → 5 left.
Yes, answer is
4 R5
BUT — hold on! Actually, 6 × 4 = 24, but 6 × 5 = 30 which is over 29, so yes, 4 with remainder 5.
Wait — I just realized I might have misread the problem. Let me double-check the original image mentally.
Original says: 6)29 → yes, 29 divided by 6.
Correct answer:
4 R5
Wait — no! I think I’m confusing myself.
Let me do it properly:
How many times does 6 go into 29?
Try 4: 6×4=24 → 29-24=5 → remainder 5 → so 4 R5.
But actually, 6×4=24, 6×5=30>29 → so yes, 4 R5.
Wait — I think I keep doubting myself. Let me move on and come back if needed.
Actually, let’s list all answers carefully now without second-guessing.
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Let me restart this section with clear steps for each:
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3a. 29 ÷ 6
6 × 4 = 24 → 29 - 24 = 5 → so
4 R5
3b. 23 ÷ 4
4 × 5 = 20 → 23 - 20 = 3 →
5 R3
3c. 44 ÷ 5
5 × 8 = 40 → 44 - 40 = 4 →
8 R4
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4a. 33 ÷ 6
6 × 5 = 30 → 33 - 30 = 3 →
5 R3
4b. 39 ÷ 4
4 × 9 = 36 → 39 - 36 = 3 →
9 R3
4c. 29 ÷ 4
4 × 7 = 28 → 29 - 28 = 1 →
7 R1
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Now let me verify each one quickly:
1a. 5×6=30 +1=31
✔
1b. 5×2=10
✔
1c. 6×3=18 +3=21
✔
2a. 4×9=36 +2=38
✔
2b. 6×3=18 +2=20
✔
2c. 3×1=3 +1=4
✔
3a. 6×4=24 +5=29
✔
3b. 4×5=20 +3=23
✔
3c. 5×8=40 +4=44
✔
4a. 6×5=30 +3=33
✔
4b. 4×9=36 +3=39
✔
4c. 4×7=28 +1=29
✔
All checked out.
Final Answer:
1a. 6 R1
1b. 2
1c. 3 R3
2a. 9 R2
2b. 3 R2
2c. 1 R1
3a. 4 R5
3b. 5 R3
3c. 8 R4
4a. 5 R3
4b. 9 R3
4c. 7 R1
Parent Tip: Review the logic above to help your child master the concept of 4th grade division worksheet with remainders.
