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Division Worksheet with Long Division Problems

Division worksheet with nine problems involving long division of three-digit numbers by two-digit numbers, including problems like 117 ÷ 39, 765 ÷ 45, and 210 ÷ 15.

Division worksheet with nine problems involving long division of three-digit numbers by two-digit numbers, including problems like 117 ÷ 39, 765 ÷ 45, and 210 ÷ 15.

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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 do them one at a time and check our work.

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1a. 39 ) 117

We ask: How many times does 39 go into 117?

Try 3 × 39 = 117 → Perfect!

So, 117 ÷ 39 = 3

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1b. 45 ) 765

How many times does 45 go into 765?

Try 10 × 45 = 450
765 - 450 = 315
Now, how many times does 45 go into 315?
7 × 45 = 315 → Yes!

So total = 10 + 7 = 17

Check: 17 × 45 = (10×45) + (7×45) = 450 + 315 = 765

Answer: 17

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1c. 15 ) 210

How many times does 15 go into 210?

Try 10 × 15 = 150
210 - 150 = 60
60 ÷ 15 = 4
So total = 10 + 4 = 14

Check: 14 × 15 = 210

Answer: 14

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2a. 92 ) 828

How many times does 92 go into 828?

Try 9 × 92 = ?

9 × 90 = 810
9 × 2 = 18
810 + 18 = 828 → Perfect!

Answer: 9

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2b. 12 ) 624

How many times does 12 go into 624?

Try 50 × 12 = 600
624 - 600 = 24
24 ÷ 12 = 2
Total = 50 + 2 = 52

Check: 52 × 12 = (50×12) + (2×12) = 600 + 24 = 624

Answer: 52

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2c. 42 ) 966

How many times does 42 go into 966?

Try 20 × 42 = 840
966 - 840 = 126
126 ÷ 42 = 3
Total = 20 + 3 = 23

Check: 23 × 42 = (20×42) + (3×42) = 840 + 126 = 966

Answer: 23

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3a. 10 ) 360

This is easy — dividing by 10 just removes the last zero.

360 ÷ 10 = 36

Check: 36 × 10 = 360

Answer: 36

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3b. 42 ) 252

How many times does 42 go into 252?

Try 6 × 42 = ?

6 × 40 = 240
6 × 2 = 12
240 + 12 = 252 → Perfect!

Answer: 6

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3c. 53 ) 318

How many times does 53 go into 318?

Try 6 × 53 = ?

6 × 50 = 300
6 × 3 = 18
300 + 18 = 318 → Perfect!

Answer: 6

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Final Answer:

1a. 3
1b. 17
1c. 14
2a. 9
2b. 52
2c. 23
3a. 36
3b. 6
3c. 6
Parent Tip: Review the logic above to help your child master the concept of division with 2 digit divisors worksheet.
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