Practice division with 4-digit dividends and remainders; find the quotient and show your work.

Let’s solve each division problem step by step. We’re dividing 4-digit numbers by single-digit numbers and finding the quotient (and remainder if any). I’ll show my work for each one.

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1.) 5 ) 7,543

How many times does 5 go into 7? → 1 time (5 × 1 = 5), subtract: 7 - 5 = 2
Bring down 5 → 25
5 goes into 25 → 5 times (5 × 5 = 25), subtract: 0
Bring down 4 → 4
5 goes into 4 → 0 times, so write 0, bring down 3 → 43
5 goes into 43 → 8 times (5 × 8 = 40), subtract: 43 - 40 = 3 ← remainder

→ Quotient: 1,508, Remainder: 3

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2.) 4 ) 3,874

4 into 3 → 0, so look at 38
4 into 38 → 9 times (4×9=36), subtract: 38-36=2
Bring down 7 → 27
4 into 27 → 6 times (4×6=24), subtract: 3
Bring down 4 → 34
4 into 34 → 8 times (4×8=32), subtract: 2 ← remainder

→ Quotient: 968, Remainder: 2

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3.) 8 ) 8,507

8 into 8 → 1, subtract: 0
Bring down 5 → 5
8 into 5 → 0, so write 0, bring down 0 → 50
8 into 50 → 6 times (8×6=48), subtract: 2
Bring down 7 → 27
8 into 27 → 3 times (8×3=24), subtract: 3 ← remainder

→ Quotient: 1,063, Remainder: 3

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4.) 6 ) 1,911

6 into 1 → 0, look at 19
6 into 19 → 3 times (6×3=18), subtract: 1
Bring down 1 → 11
6 into 11 → 1 time (6×1=6), subtract: 5
Bring down 1 → 51
6 into 51 → 8 times (6×8=48), subtract: 3 ← remainder

→ Quotient: 318, Remainder: 3

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5.) 3 ) 4,143

3 into 4 → 1, subtract: 1
Bring down 1 → 11
3 into 11 → 3 times (3×3=9), subtract: 2
Bring down 4 → 24
3 into 24 → 8 times, subtract: 0
Bring down 3 → 3
3 into 3 → 1, subtract: 0 ← no remainder

→ Quotient: 1,381, Remainder: 0

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6.) 9 ) 8,622

9 into 8 → 0, look at 86
9 into 86 → 9 times (9×9=81), subtract: 5
Bring down 2 → 52
9 into 52 → 5 times (9×5=45), subtract: 7
Bring down 2 → 72
9 into 72 → 8 times, subtract: 0 ← no remainder

→ Quotient: 958, Remainder: 0

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7.) 7 ) 6,276

7 into 6 → 0, look at 62
7 into 62 → 8 times (7×8=56), subtract: 6
Bring down 7 → 67
7 into 67 → 9 times (7×9=63), subtract: 4
Bring down 6 → 46
7 into 46 → 6 times (7×6=42), subtract: 4 ← remainder

→ Quotient: 896, Remainder: 4

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8.) 4 ) 6,589

4 into 6 → 1, subtract: 2
Bring down 5 → 25
4 into 25 → 6 times (4×6=24), subtract: 1
Bring down 8 → 18
4 into 18 → 4 times (4×4=16), subtract: 2
Bring down 9 → 29
4 into 29 → 7 times (4×7=28), subtract: 1 ← remainder

→ Quotient: 1,647, Remainder: 1

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9.) 3 ) 1,959

3 into 1 → 0, look at 19
3 into 19 → 6 times (3×6=18), subtract: 1
Bring down 5 → 15
3 into 15 → 5 times, subtract: 0
Bring down 9 → 9
3 into 9 → 3 times, subtract: 0 ← no remainder

→ Quotient: 653, Remainder: 0

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10.) 2 ) 7,367

2 into 7 → 3 times (2×3=6), subtract: 1
Bring down 3 → 13
2 into 13 → 6 times (2×6=12), subtract: 1
Bring down 6 → 16
2 into 16 → 8 times, subtract: 0
Bring down 7 → 7
2 into 7 → 3 times (2×3=6), subtract: 1 ← remainder

→ Quotient: 3,683, Remainder: 1

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11.) 9 ) 2,153

9 into 2 → 0, look at 21
9 into 21 → 2 times (9×2=18), subtract: 3
Bring down 5 → 35
9 into 35 → 3 times (9×3=27), subtract: 8
Bring down 3 → 83
9 into 83 → 9 times (9×9=81), subtract: 2 ← remainder

→ Quotient: 239, Remainder: 2

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12.) 6 ) 8,592

6 into 8 → 1, subtract: 2
Bring down 5 → 25
6 into 25 → 4 times (6×4=24), subtract: 1
Bring down 9 → 19
6 into 19 → 3 times (6×3=18), subtract: 1
Bring down 2 → 12
6 into 12 → 2 times, subtract: 0 ← no remainder

→ Quotient: 1,432, Remainder: 0

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Final Answer:

1.) 1,508 R3
2.) 968 R2
3.) 1,063 R3
4.) 318 R3
5.) 1,381 R0
6.) 958 R0
7.) 896 R4
8.) 1,647 R1
9.) 653 R0
10.) 3,683 R1
11.) 239 R2
12.) 1,432 R0