Long division by single digit (no remainder) - Grade 4 Division Worksheet.

Sure! Let’s solve each of these long division problems step by step. The worksheet says “no remainder,” so we expect each division to come out evenly (exact quotient).

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1. 5,236 ÷ 2

We divide 5,236 by 2.

- 2 goes into 5 → 2 times (2×2=4), subtract → 5−4=1
- Bring down 2 → 12
- 2 goes into 12 → 6 times (2×6=12), subtract → 0
- Bring down 3 → 3
- 2 goes into 3 → 1 time (2×1=2), subtract → 1
- Bring down 6 → 16
- 2 goes into 16 → 8 times (2×8=16), subtract → 0

✔ Quotient: 2,618

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2. 1,204 ÷ 7

Divide 1,204 by 7.

- 7 goes into 12 → 1 time (7×1=7), subtract → 12−7=5
- Bring down 0 → 50
- 7 goes into 50 → 7 times (7×7=49), subtract → 1
- Bring down 4 → 14
- 7 goes into 14 → 2 times (7×2=14), subtract → 0

✔ Quotient: 172

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3. 7,227 ÷ 9

Divide 7,227 by 9.

- 9 goes into 7 → 0, so consider 72
- 9 goes into 72 → 8 times (9×8=72), subtract → 0
- Bring down 2 → 2
- 9 goes into 2 → 0, so write 0, bring down next digit → 22
- 9 goes into 22 → 2 times (9×2=18), subtract → 4
- Bring down 7 → 47
- 9 goes into 47 → 5 times (9×5=45), subtract → 2 → Wait, that’s a remainder!

But the worksheet says “no remainder.” Let me check my math.

Wait — 9 × 803 = ?

Let’s try again:

Actually, let's do it properly:

- 9 into 72 → 8 → 8×9=72 → 0
- Bring down 2 → 02 → 9 into 2? 0 → write 0
- Bring down 7 → 27
- 9 into 27 → 3 → 3×9=27 → 0

So digits: 8 (from 72), then 0 (from 2), then 3 (from 27) → 803

Check: 9 × 803 = 7,227?
9×800=7,200; 9×3=27 → 7,200+27=7,227 ✔

✔ Quotient: 803

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4. 7,266 ÷ 7

Divide 7,266 by 7.

- 7 into 7 → 1, 1×7=7 → 0
- Bring down 2 → 2
- 7 into 2 → 0 → write 0
- Bring down 6 → 26
- 7 into 26 → 3 (7×3=21), subtract → 5
- Bring down 6 → 56
- 7 into 56 → 8 (7×8=56), subtract → 0

Digits: 1, 0, 3, 8 → 1,038

Check: 7 × 1,038 = 7×1000=7,000; 7×38=266 → 7,000+266=7,266 ✔

✔ Quotient: 1,038

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5. 8,455 ÷ 5

Divide 8,455 by 5.

- 5 into 8 → 1 (5×1=5), subtract → 3
- Bring down 4 → 34
- 5 into 34 → 6 (5×6=30), subtract → 4
- Bring down 5 → 45
- 5 into 45 → 9 (5×9=45), subtract → 0
- Bring down 5 → 5
- 5 into 5 → 1 (5×1=5), subtract → 0

Digits: 1, 6, 9, 1 → 1,691

Check: 5 × 1,691 = 8,455?
5×1,600=8,000; 5×91=455 → 8,000+455=8,455 ✔

✔ Quotient: 1,691

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6. 2,835 ÷ 5

Divide 2,835 by 5.

- 5 into 2 → 0, so 28
- 5 into 28 → 5 (5×5=25), subtract → 3
- Bring down 3 → 33
- 5 into 33 → 6 (5×6=30), subtract → 3
- Bring down 5 → 35
- 5 into 35 → 7 (5×7=35), subtract → 0

Digits: 5, 6, 7 → 567

Check: 5 × 567 = 2,835?
5×500=2,500; 5×67=335 → 2,500+335=2,835 ✔

✔ Quotient: 567

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7. 7,848 ÷ 8

Divide 7,848 by 8.

- 8 into 7 → 0, so 78
- 8 into 78 → 9 (8×9=72), subtract → 6
- Bring down 4 → 64
- 8 into 64 → 8 (8×8=64), subtract → 0
- Bring down 8 → 8
- 8 into 8 → 1 (8×1=8), subtract → 0

Digits: 9, 8, 1 → 981

Check: 8 × 981 = 7,848?
8×900=7,200; 8×81=648 → 7,200+648=7,848 ✔

✔ Quotient: 981

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8. 6,840 ÷ 9

Divide 6,840 by 9.

- 9 into 6 → 0, so 68
- 9 into 68 → 7 (9×7=63), subtract → 5
- Bring down 4 → 54
- 9 into 54 → 6 (9×6=54), subtract → 0
- Bring down 0 → 0
- 9 into 0 → 0

Digits: 7, 6, 0 → 760

Check: 9 × 760 = 6,840?
9×700=6,300; 9×60=540 → 6,300+540=6,840 ✔

✔ Quotient: 760

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9. 3,670 ÷ 5

Divide 3,670 by 5.

- 5 into 3 → 0, so 36
- 5 into 36 → 7 (5×7=35), subtract → 1
- Bring down 7 → 17
- 5 into 17 → 3 (5×3=15), subtract → 2
- Bring down 0 → 20
- 5 into 20 → 4 (5×4=20), subtract → 0

Digits: 7, 3, 4 → 734

Check: 5 × 734 = 3,670?
5×700=3,500; 5×34=170 → 3,500+170=3,670 ✔

✔ Quotient: 734

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## ✔ Final Answers:

1. 2,618
2. 172
3. 803
4. 1,038
5. 1,691
6. 567
7. 981
8. 760
9. 734

All divisions have no remainder, as required.

Let me know if you’d like to see the long division written out visually for any problem!