Division Worksheet featuring long division problems with three-digit dividends and two-digit divisors.
Division worksheet with nine problems involving long division of three-digit numbers by two-digit divisors, labeled 1a to 3c.
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Step-by-step solution for: Long division worksheets for grades 4-6
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Show Answer Key & Explanations
Step-by-step solution for: Long division worksheets for grades 4-6
Let’s solve each division problem step by step. We’ll use long division for each one.
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1a. 5194 ÷ 98
We ask: How many times does 98 go into 519?
98 × 5 = 490 → too small
98 × 6 = 588 → too big
So, 5 times.
Write 5 above the 9 in 5194.
Multiply: 98 × 5 = 490
Subtract: 519 - 490 = 29
Bring down the 4 → now we have 294
How many times does 98 go into 294?
98 × 3 = 294 → perfect!
Write 3 next to the 5 → quotient is 53
Remainder = 0
✔ Answer: 53
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1b. 2124 ÷ 36
How many times does 36 go into 212?
36 × 5 = 180
36 × 6 = 216 → too big
So, 5 times.
Write 5 above the 2 in 2124.
Multiply: 36 × 5 = 180
Subtract: 212 - 180 = 32
Bring down the 4 → 324
How many times does 36 go into 324?
36 × 9 = 324 → perfect!
Write 9 next to the 5 → quotient is 59
Remainder = 0
✔ Answer: 59
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1c. 6358 ÷ 11
How many times does 11 go into 63?
11 × 5 = 55
11 × 6 = 66 → too big
So, 5 times.
Write 5 above the 3 in 6358.
Multiply: 11 × 5 = 55
Subtract: 63 - 55 = 8
Bring down the 5 → 85
How many times does 11 go into 85?
11 × 7 = 77
11 × 8 = 88 → too big
So, 7 times.
Write 7 next to the 5 → so far 57
Multiply: 11 × 7 = 77
Subtract: 85 - 77 = 8
Bring down the 8 → 88
How many times does 11 go into 88?
11 × 8 = 88 → perfect!
Write 8 → quotient is 578
Remainder = 0
✔ Answer: 578
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2a. 4284 ÷ 18
How many times does 18 go into 42?
18 × 2 = 36
18 × 3 = 54 → too big
So, 2 times.
Write 2 above the 2 in 4284.
Multiply: 18 × 2 = 36
Subtract: 42 - 36 = 6
Bring down the 8 → 68
How many times does 18 go into 68?
18 × 3 = 54
18 × 4 = 72 → too big
So, 3 times.
Write 3 → so far 23
Multiply: 18 × 3 = 54
Subtract: 68 - 54 = 14
Bring down the 4 → 144
How many times does 18 go into 144?
18 × 8 = 144 → perfect!
Write 8 → quotient is 238
Remainder = 0
✔ Answer: 238
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2b. 5429 ÷ 89
How many times does 89 go into 542?
89 × 6 = 534
89 × 7 = 623 → too big
So, 6 times.
Write 6 above the 2 in 5429.
Multiply: 89 × 6 = 534
Subtract: 542 - 534 = 8
Bring down the 9 → 89
How many times does 89 go into 89?
Exactly 1 time.
Write 1 → quotient is 61
Remainder = 0
✔ Answer: 61
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2c. 4500 ÷ 20
This is easy — divide both numbers by 10 first:
450 ÷ 2 = 225
Or do long division:
20 goes into 45 two times (20×2=40)
Subtract: 45-40=5
Bring down 0 → 50
20 goes into 50 two times (20×2=40)
Subtract: 50-40=10
Bring down 0 → 100
20 goes into 100 five times (20×5=100)
Quotient: 225
Remainder: 0
✔ Answer: 225
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3a. 3536 ÷ 34
How many times does 34 go into 35?
Once → 34 × 1 = 34
Subtract: 35 - 34 = 1
Bring down 3 → 13
34 doesn’t go into 13 → write 0 above the 3? Wait — better to think of it as 353.
Actually, let’s start over with proper alignment:
Divide 34 into 353 (first three digits).
34 × 10 = 340 → close
34 × 10 = 340
353 - 340 = 13 → bring down 6 → 136
Now, 34 × 4 = 136 → perfect!
So total quotient: 10 + 4 = 104? Wait — no.
Wait — when dividing 3536 by 34:
Step 1: 34 into 35 → 1 time → 34 × 1 = 34 → subtract from 35 → remainder 1
Bring down 3 → 13 → too small → so write 0? Actually, we should consider 353.
Better way:
34 into 353 → how many times?
34 × 10 = 340 → yes
353 - 340 = 13
Bring down 6 → 136
34 × 4 = 136 → yes
So quotient is 104? But 10 and 4 — that’s 104.
Check: 34 × 104 = ?
34 × 100 = 3400
34 × 4 = 136
Total = 3400 + 136 = 3536 → correct!
✔ Answer: 104
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3b. 6148 ÷ 29
How many times does 29 go into 61?
29 × 2 = 58
29 × 3 = 87 → too big
So, 2 times.
Write 2 above the 1 in 6148.
Multiply: 29 × 2 = 58
Subtract: 61 - 58 = 3
Bring down 4 → 34
29 goes into 34 once → 29 × 1 = 29
Subtract: 34 - 29 = 5
Bring down 8 → 58
29 goes into 58 exactly twice → 29 × 2 = 58
Quotient: 212
Remainder: 0
Check: 29 × 212 = ?
29 × 200 = 5800
29 × 12 = 348
Total = 5800 + 348 = 6148 → correct!
✔ Answer: 212
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3c. 1517 ÷ 37
How many times does 37 go into 151?
37 × 4 = 148
37 × 5 = 185 → too big
So, 4 times.
Write 4 above the 1 in 1517.
Multiply: 37 × 4 = 148
Subtract: 151 - 148 = 3
Bring down 7 → 37
37 goes into 37 exactly once.
Write 1 → quotient is 41
Remainder = 0
Check: 37 × 41 = ?
37 × 40 = 1480
37 × 1 = 37
Total = 1480 + 37 = 1517 → correct!
✔ Answer: 41
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Final Answer:
1a. 53
1b. 59
1c. 578
2a. 238
2b. 61
2c. 225
3a. 104
3b. 212
3c. 41
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1a. 5194 ÷ 98
We ask: How many times does 98 go into 519?
98 × 5 = 490 → too small
98 × 6 = 588 → too big
So, 5 times.
Write 5 above the 9 in 5194.
Multiply: 98 × 5 = 490
Subtract: 519 - 490 = 29
Bring down the 4 → now we have 294
How many times does 98 go into 294?
98 × 3 = 294 → perfect!
Write 3 next to the 5 → quotient is 53
Remainder = 0
✔ Answer: 53
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1b. 2124 ÷ 36
How many times does 36 go into 212?
36 × 5 = 180
36 × 6 = 216 → too big
So, 5 times.
Write 5 above the 2 in 2124.
Multiply: 36 × 5 = 180
Subtract: 212 - 180 = 32
Bring down the 4 → 324
How many times does 36 go into 324?
36 × 9 = 324 → perfect!
Write 9 next to the 5 → quotient is 59
Remainder = 0
✔ Answer: 59
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1c. 6358 ÷ 11
How many times does 11 go into 63?
11 × 5 = 55
11 × 6 = 66 → too big
So, 5 times.
Write 5 above the 3 in 6358.
Multiply: 11 × 5 = 55
Subtract: 63 - 55 = 8
Bring down the 5 → 85
How many times does 11 go into 85?
11 × 7 = 77
11 × 8 = 88 → too big
So, 7 times.
Write 7 next to the 5 → so far 57
Multiply: 11 × 7 = 77
Subtract: 85 - 77 = 8
Bring down the 8 → 88
How many times does 11 go into 88?
11 × 8 = 88 → perfect!
Write 8 → quotient is 578
Remainder = 0
✔ Answer: 578
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2a. 4284 ÷ 18
How many times does 18 go into 42?
18 × 2 = 36
18 × 3 = 54 → too big
So, 2 times.
Write 2 above the 2 in 4284.
Multiply: 18 × 2 = 36
Subtract: 42 - 36 = 6
Bring down the 8 → 68
How many times does 18 go into 68?
18 × 3 = 54
18 × 4 = 72 → too big
So, 3 times.
Write 3 → so far 23
Multiply: 18 × 3 = 54
Subtract: 68 - 54 = 14
Bring down the 4 → 144
How many times does 18 go into 144?
18 × 8 = 144 → perfect!
Write 8 → quotient is 238
Remainder = 0
✔ Answer: 238
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2b. 5429 ÷ 89
How many times does 89 go into 542?
89 × 6 = 534
89 × 7 = 623 → too big
So, 6 times.
Write 6 above the 2 in 5429.
Multiply: 89 × 6 = 534
Subtract: 542 - 534 = 8
Bring down the 9 → 89
How many times does 89 go into 89?
Exactly 1 time.
Write 1 → quotient is 61
Remainder = 0
✔ Answer: 61
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2c. 4500 ÷ 20
This is easy — divide both numbers by 10 first:
450 ÷ 2 = 225
Or do long division:
20 goes into 45 two times (20×2=40)
Subtract: 45-40=5
Bring down 0 → 50
20 goes into 50 two times (20×2=40)
Subtract: 50-40=10
Bring down 0 → 100
20 goes into 100 five times (20×5=100)
Quotient: 225
Remainder: 0
✔ Answer: 225
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3a. 3536 ÷ 34
How many times does 34 go into 35?
Once → 34 × 1 = 34
Subtract: 35 - 34 = 1
Bring down 3 → 13
34 doesn’t go into 13 → write 0 above the 3? Wait — better to think of it as 353.
Actually, let’s start over with proper alignment:
Divide 34 into 353 (first three digits).
34 × 10 = 340 → close
34 × 10 = 340
353 - 340 = 13 → bring down 6 → 136
Now, 34 × 4 = 136 → perfect!
So total quotient: 10 + 4 = 104? Wait — no.
Wait — when dividing 3536 by 34:
Step 1: 34 into 35 → 1 time → 34 × 1 = 34 → subtract from 35 → remainder 1
Bring down 3 → 13 → too small → so write 0? Actually, we should consider 353.
Better way:
34 into 353 → how many times?
34 × 10 = 340 → yes
353 - 340 = 13
Bring down 6 → 136
34 × 4 = 136 → yes
So quotient is 104? But 10 and 4 — that’s 104.
Check: 34 × 104 = ?
34 × 100 = 3400
34 × 4 = 136
Total = 3400 + 136 = 3536 → correct!
✔ Answer: 104
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3b. 6148 ÷ 29
How many times does 29 go into 61?
29 × 2 = 58
29 × 3 = 87 → too big
So, 2 times.
Write 2 above the 1 in 6148.
Multiply: 29 × 2 = 58
Subtract: 61 - 58 = 3
Bring down 4 → 34
29 goes into 34 once → 29 × 1 = 29
Subtract: 34 - 29 = 5
Bring down 8 → 58
29 goes into 58 exactly twice → 29 × 2 = 58
Quotient: 212
Remainder: 0
Check: 29 × 212 = ?
29 × 200 = 5800
29 × 12 = 348
Total = 5800 + 348 = 6148 → correct!
✔ Answer: 212
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3c. 1517 ÷ 37
How many times does 37 go into 151?
37 × 4 = 148
37 × 5 = 185 → too big
So, 4 times.
Write 4 above the 1 in 1517.
Multiply: 37 × 4 = 148
Subtract: 151 - 148 = 3
Bring down 7 → 37
37 goes into 37 exactly once.
Write 1 → quotient is 41
Remainder = 0
Check: 37 × 41 = ?
37 × 40 = 1480
37 × 1 = 37
Total = 1480 + 37 = 1517 → correct!
✔ Answer: 41
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Final Answer:
1a. 53
1b. 59
1c. 578
2a. 238
2b. 61
2c. 225
3a. 104
3b. 212
3c. 41
Parent Tip: Review the logic above to help your child master the concept of division worksheet for 4th graders.
