Long division worksheets for grades 4-6 - Free Printable

Let’s solve each division problem step by step. We’ll do long division for each one, carefully checking our work.

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Problem 1a: 5194 ÷ 98

We ask: How many times does 98 go into 519? (We start with the first three digits since 98 > 51)

- 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

Now, how many times does 98 go into 294?

- 98 × 3 = 294 → perfect!

Write 3 next to the 5 → so quotient is 53

Check: 98 × 53 = ?

Break it down:
98 × 50 = 4900
98 × 3 = 294
Total = 4900 + 294 = 5194 ✔

✔ Answer: 53

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Problem 1b: 2124 ÷ 36

How many times does 36 go into 212? (first three digits)

- 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

Now, how many times does 36 go into 324?

Try 36 × 9 = 324 → yes!

Write 9 next to the 5 → quotient is 59

Check: 36 × 59 = ?

36 × 60 = 2160 → minus 36 = 2124 ✔

✔ Answer: 59

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Problem 1c: 6358 ÷ 11

This one might be easier — let’s try dividing step by step.

Start with 63 ÷ 11 → 11 × 5 = 55, 11 × 6 = 66 → too big → use 5

Write 5 above the 3.

Multiply: 11 × 5 = 55
Subtract: 63 - 55 = 8
Bring down 5 → 85

85 ÷ 11 → 11 × 7 = 77, 11 × 8 = 88 → too big → use 7

Write 7 next to 5 → so far 57

Multiply: 11 × 7 = 77
Subtract: 85 - 77 = 8
Bring down 8 → 88

88 ÷ 11 = 8 exactly

Write 8 → quotient is 578

Check: 11 × 578 = ?

11 × 500 = 5500
11 × 78 = 858
Total = 5500 + 858 = 6358 ✔

✔ Answer: 578

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Problem 2a: 4284 ÷ 18

Start with 42 ÷ 18 → 18 × 2 = 36, 18 × 3 = 54 → too big → use 2

Write 2 above the 2 in 4284.

Multiply: 18 × 2 = 36
Subtract: 42 - 36 = 6
Bring down 8 → 68

68 ÷ 18 → 18 × 3 = 54, 18 × 4 = 72 → too big → use 3

Write 3 → so far 23

Multiply: 18 × 3 = 54
Subtract: 68 - 54 = 14
Bring down 4 → 144

144 ÷ 18 = 8 exactly (since 18 × 8 = 144)

Write 8 → quotient is 238

Check: 18 × 238 = ?

18 × 200 = 3600
18 × 38 = 684
Total = 3600 + 684 = 4284 ✔

✔ Answer: 238

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Problem 2b: 5429 ÷ 89

Start with 542 ÷ 89

Estimate: 89 × 6 = 534 → close!
89 × 7 = 623 → too big → use 6

Write 6 above the 2 in 5429.

Multiply: 89 × 6 = 534
Subtract: 542 - 534 = 8
Bring down 9 → 89

89 ÷ 89 = 1

Write 1 → quotient is 61

Check: 89 × 61 = ?

89 × 60 = 5340
89 × 1 = 89
Total = 5340 + 89 = 5429 ✔

✔ Answer: 61

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Problem 2c: 4500 ÷ 20

This is easy — divide by 10 first, then by 2.

4500 ÷ 10 = 450
450 ÷ 2 = 225

Or directly: 20 × 225 = 4500 ✔

✔ Answer: 225

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Problem 3a: 3536 ÷ 34

Start with 35 ÷ 34 → 1 time

Write 1 above the 5.

Multiply: 34 × 1 = 34
Subtract: 35 - 34 = 1
Bring down 3 → 13

13 < 34 → write 0 above the 3? Wait — actually, we bring down the next digit and continue.

Wait — better to think: after 35, we have remainder 1, bring down 3 → 13

But 13 is less than 34 → so we write 0 in the tens place? Actually, no — we should consider 353 as the first part.

Actually, let's do it properly:

Divide 353 by 34.

34 × 10 = 340 → fits once in 353? Let’s see:

34 × 10 = 340 → subtract from 353 → 13 → but we’re doing digit by digit.

Better:

34 goes into 35 → 1 time → write 1 over the 5.

34 × 1 = 34 → subtract from 35 → remainder 1

Bring down 3 → 13

13 < 34 → so write 0 over the 3? But that’s not standard — instead, we combine with next digit.

Actually, we should look at 353 ÷ 34.

34 × 10 = 340 → 353 - 340 = 13 → so 10 with remainder 13? But we are doing long division digit by digit.

Standard way:

After writing 1 over the 5, remainder 1, bring down 3 → 13

Since 13 < 34, we write 0 over the 3? No — in long division, we don’t skip — we just move to next digit.

Actually, we bring down the next digit (which is 6) to make 136.

Wait — original number is 3536.

So:

Step 1: 34 into 35 → 1 → 34×1=34 → subtract → 1

Bring down 3 → 13

13 < 34 → so we write 0 in the quotient? Actually, no — we proceed to bring down the next digit.

In proper long division, when you have a remainder and bring down the next digit, you form a new number.

So after 35 - 34 = 1, bring down 3 → 13

Still less than 34 → so we write 0 in the quotient? But that would be incorrect placement.

Actually, let me restart this one clearly.

Long division of 3536 ÷ 34:

Set up:

_______
34 ) 3536

34 goes into 35 → 1 time → write 1 above the 5.

1 × 34 = 34 → subtract from 35 → 1

Bring down 3 → 13

13 < 34 → so we write 0 above the 3? But that’s not right — we should bring down the next digit immediately.

Actually, in long division, if the current number is less than divisor, you put a 0 in the quotient and bring down the next digit.

But here, after bringing down 3, we have 13, which is less than 34, so we write 0 in the quotient above the 3, then bring down the 6 → making 136.

Then 34 into 136.

34 × 4 = 136 → perfect.

So quotient is 104.

Check: 34 × 104 = ?

34 × 100 = 3400
34 × 4 = 136
Total = 3400 + 136 = 3536 ✔

✔ Answer: 104

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Problem 3b: 6148 ÷ 29

Start with 61 ÷ 29 → 29 × 2 = 58, 29 × 3 = 87 → too big → use 2

Write 2 above the 1.

Multiply: 29 × 2 = 58
Subtract: 61 - 58 = 3
Bring down 4 → 34

34 ÷ 29 → 1 time (29 × 1 = 29)

Write 1 → so far 21

Multiply: 29 × 1 = 29
Subtract: 34 - 29 = 5
Bring down 8 → 58

58 ÷ 29 = 2 exactly

Write 2 → quotient is 212

Check: 29 × 212 = ?

29 × 200 = 5800
29 × 12 = 348
Total = 5800 + 348 = 6148 ✔

✔ Answer: 212

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Problem 3c: 1517 ÷ 37

Start with 151 ÷ 37

37 × 4 = 148 → close
37 × 5 = 185 → too big → use 4

Write 4 above the 1 in 1517.

Multiply: 37 × 4 = 148
Subtract: 151 - 148 = 3
Bring down 7 → 37

37 ÷ 37 = 1

Write 1 → quotient is 41

Check: 37 × 41 = ?

37 × 40 = 1480
37 × 1 = 37
Total = 1480 + 37 = 1517 ✔

✔ 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