Long Division Worksheets - TheWorksheets.CoM - TheWorksheets Library - Free Printable

Let’s solve each long division problem step by step. We’ll go one at a time, carefully checking our work.

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Problem 1: 40758 ÷ 96

We want to divide 40758 by 96.

Step 1: How many times does 96 go into 407?
Try 4 × 96 = 384 → too small
Try 5 × 96 = 480 → too big
So, 4 times. Write down 4 above the 7 (in 407).

Subtract: 407 - 384 = 23

Bring down next digit: 5 → now we have 235

Step 2: How many times does 96 go into 235?
2 × 96 = 192
3 × 96 = 288 → too big
So, 2 times. Write 2 above the 5.

Subtract: 235 - 192 = 43

Bring down next digit: 8 → now we have 438

Step 3: How many times does 96 go into 438?
4 × 96 = 384
5 × 96 = 480 → too big
So, 4 times. Write 4 above the 8.

Subtract: 438 - 384 = 54

No more digits to bring down. So remainder is 54.

Answer: 424 R54

Wait — let me double-check:

96 × 424 = ?

First, 96 × 400 = 38,400
96 × 20 = 1,920 → total so far: 40,320
96 × 4 = 384 → total: 40,320 + 384 = 40,704
Add remainder 54 → 40,704 + 54 = 40,758 ✔ Correct!

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Problem 2: 54455 ÷ 34

Divide 54455 by 34.

Step 1: 34 into 54 → 1 time (34), subtract → 54 - 34 = 20
Bring down 4 → 204

Step 2: 34 into 204 → 6 times (34×6=204) → subtract → 0
Bring down 5 → 5

Step 3: 34 into 5 → 0 times → write 0
Bring down 5 → 55

Step 4: 34 into 55 → 1 time (34), subtract → 55 - 34 = 21

Remainder 21.

Quotient: 1601 R21

Check: 34 × 1601 = ?

34 × 1600 = 54,400
34 × 1 = 34 → total 54,434
Add remainder 21 → 54,434 + 21 = 54,455 ✔ Correct!

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Problem 3: 26557 ÷ 49

Divide 26557 by 49.

Step 1: 49 into 265 → try 5 × 49 = 245 → subtract → 265 - 245 = 20
Bring down 5 → 205

Step 2: 49 into 205 → 4 × 49 = 196 → subtract → 205 - 196 = 9
Bring down 7 → 97

Step 3: 49 into 97 → 1 × 49 = 49 → subtract → 97 - 49 = 48

Remainder 48.

Quotient: 541 R48

Check: 49 × 541 = ?

49 × 500 = 24,500
49 × 40 = 1,960 → total 26,460
49 × 1 = 49 → total 26,509
Add remainder 48 → 26,509 + 48 = 26,557 ✔ Correct!

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Problem 4: 78564 ÷ 75

Divide 78564 by 75.

Step 1: 75 into 78 → 1 time → 78 - 75 = 3
Bring down 5 → 35

Step 2: 75 into 35 → 0 → write 0
Bring down 6 → 356

Step 3: 75 into 356 → 4 × 75 = 300 → subtract → 56
Bring down 4 → 564

Step 4: 75 into 564 → 7 × 75 = 525 → subtract → 564 - 525 = 39

Remainder 39.

Quotient: 1047 R39

Check: 75 × 1047 = ?

75 × 1000 = 75,000
75 × 40 = 3,000 → total 78,000
75 × 7 = 525 → total 78,525
Add remainder 39 → 78,525 + 39 = 78,564 ✔ Correct!

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Problem 5: 103127 ÷ 54

Divide 103127 by 54.

Step 1: 54 into 103 → 1 × 54 = 54 → subtract → 103 - 54 = 49
Bring down 1 → 491

Step 2: 54 into 491 → 9 × 54 = 486 → subtract → 5
Bring down 2 → 52

Step 3: 54 into 52 → 0 → write 0
Bring down 7 → 527

Step 4: 54 into 527 → 9 × 54 = 486 → subtract → 527 - 486 = 41

Remainder 41.

Quotient: 1909 R41

Check: 54 × 1909 = ?

54 × 1900 = 54 × 19 × 100 = (54×20 - 54) × 100 = (1080 - 54) × 100 = 1026 × 100 = 102,600
54 × 9 = 486 → total 102,600 + 486 = 103,086
Add remainder 41 → 103,086 + 41 = 103,127 ✔ Correct!

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Problem 6: 87451 ÷ 61

Divide 87451 by 61.

Step 1: 61 into 87 → 1 × 61 = 61 → subtract → 26
Bring down 4 → 264

Step 2: 61 into 264 → 4 × 61 = 244 → subtract → 20
Bring down 5 → 205

Step 3: 61 into 205 → 3 × 61 = 183 → subtract → 22
Bring down 1 → 221

Step 4: 61 into 221 → 3 × 61 = 183 → subtract → 38

Remainder 38.

Quotient: 1433 R38

Check: 61 × 1433 = ?

61 × 1400 = 85,400
61 × 33 = 61×30 + 61×3 = 1830 + 183 = 2013
Total: 85,400 + 2,013 = 87,413
Add remainder 38 → 87,413 + 38 = 87,451 ✔ Correct!

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Final Answer:
1. 40758 ÷ 96 = 424 R54
2. 54455 ÷ 34 = 1601 R21
3. 26557 ÷ 49 = 541 R48
4. 78564 ÷ 75 = 1047 R39
5. 103127 ÷ 54 = 1909 R41
6. 87451 ÷ 61 = 1433 R38