3-digit by 2-digit Division Worksheets - 15 Worksheets Library - Free Printable
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Step-by-step solution for: 3-digit by 2-digit Division Worksheets - 15 Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: 3-digit by 2-digit Division Worksheets - 15 Worksheets Library
Let's solve each of these long division problems step by step. The image contains six long division problems, and we'll go through them one at a time.
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We divide 894 by 37.
- Step 1: How many times does 37 go into 89?
→ 37 × 2 = 74
→ 37 × 3 = 111 (too big)
So, 2 times.
Write 2 above the 9 in 894.
Subtract: 89 - 74 = 15
- Bring down the next digit: 4 → 154
- Step 2: How many times does 37 go into 154?
→ 37 × 4 = 148
→ 37 × 5 = 185 (too big)
So, 4 times.
Write 4 next to the 2 → quotient is 24 so far.
Subtract: 154 - 148 = 6
- Remainder = 6
✔ Answer: 24 R6
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Divide 418 by 33.
- Step 1: How many times does 33 go into 41?
→ 33 × 1 = 33
→ 33 × 2 = 66 (too big)
So, 1 time.
Write 1 above the 1 in 418.
Subtract: 41 - 33 = 8
- Bring down the 8 → 88
- Step 2: How many times does 33 go into 88?
→ 33 × 2 = 66
→ 33 × 3 = 99 (too big)
So, 2 times.
Write 2 next to the 1 → quotient is 12
Subtract: 88 - 66 = 22
- Remainder = 22
✔ Answer: 12 R22
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Divide 274 by 16.
- Step 1: How many times does 16 go into 27?
→ 16 × 1 = 16
→ 16 × 2 = 32 (too big)
So, 1 time.
Write 1 above the 7.
Subtract: 27 - 16 = 11
- Bring down the 4 → 114
- Step 2: How many times does 16 go into 114?
→ 16 × 7 = 112
→ 16 × 8 = 128 (too big)
So, 7 times.
Write 7 next to the 1 → quotient is 17
Subtract: 114 - 112 = 2
- Remainder = 2
✔ Answer: 17 R2
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Divide 138 by 11.
- Step 1: How many times does 11 go into 13?
→ 11 × 1 = 11
→ 11 × 2 = 22 (too big)
So, 1 time.
Write 1 above the 3.
Subtract: 13 - 11 = 2
- Bring down the 8 → 28
- Step 2: How many times does 11 go into 28?
→ 11 × 2 = 22
→ 11 × 3 = 33 (too big)
So, 2 times.
Write 2 next to the 1 → quotient is 12
Subtract: 28 - 22 = 6
- Remainder = 6
✔ Answer: 12 R6
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Divide 448 by 20.
- Step 1: How many times does 20 go into 44?
→ 20 × 2 = 40
→ 20 × 3 = 60 (too big)
So, 2 times.
Write 2 above the 4 in 448.
Subtract: 44 - 40 = 4
- Bring down the 8 → 48
- Step 2: How many times does 20 go into 48?
→ 20 × 2 = 40
→ 20 × 3 = 60 (too big)
So, 2 times.
Write 2 next to the 2 → quotient is 22
Subtract: 48 - 40 = 8
- Remainder = 8
✔ Answer: 22 R8
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Divide 909 by 47.
- Step 1: How many times does 47 go into 90?
→ 47 × 1 = 47
→ 47 × 2 = 94 (too big)
So, 1 time.
Write 1 above the 0 in 909.
Subtract: 90 - 47 = 43
- Bring down the 9 → 439
- Step 2: How many times does 47 go into 439?
Try:
→ 47 × 9 = 423
→ 47 × 10 = 470 (too big)
So, 9 times.
Write 9 next to the 1 → quotient is 19
Subtract: 439 - 423 = 16
- Remainder = 16
✔ Answer: 19 R16
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1) 894 ÷ 37 = 24 R6
2) 418 ÷ 33 = 12 R22
3) 274 ÷ 16 = 17 R2
4) 138 ÷ 11 = 12 R6
5) 448 ÷ 20 = 22 R8
6) 909 ÷ 47 = 19 R16
Let me know if you'd like these written out in long division format!
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1) 894 ÷ 37
We divide 894 by 37.
- Step 1: How many times does 37 go into 89?
→ 37 × 2 = 74
→ 37 × 3 = 111 (too big)
So, 2 times.
Write 2 above the 9 in 894.
Subtract: 89 - 74 = 15
- Bring down the next digit: 4 → 154
- Step 2: How many times does 37 go into 154?
→ 37 × 4 = 148
→ 37 × 5 = 185 (too big)
So, 4 times.
Write 4 next to the 2 → quotient is 24 so far.
Subtract: 154 - 148 = 6
- Remainder = 6
✔ Answer: 24 R6
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2) 418 ÷ 33
Divide 418 by 33.
- Step 1: How many times does 33 go into 41?
→ 33 × 1 = 33
→ 33 × 2 = 66 (too big)
So, 1 time.
Write 1 above the 1 in 418.
Subtract: 41 - 33 = 8
- Bring down the 8 → 88
- Step 2: How many times does 33 go into 88?
→ 33 × 2 = 66
→ 33 × 3 = 99 (too big)
So, 2 times.
Write 2 next to the 1 → quotient is 12
Subtract: 88 - 66 = 22
- Remainder = 22
✔ Answer: 12 R22
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3) 274 ÷ 16
Divide 274 by 16.
- Step 1: How many times does 16 go into 27?
→ 16 × 1 = 16
→ 16 × 2 = 32 (too big)
So, 1 time.
Write 1 above the 7.
Subtract: 27 - 16 = 11
- Bring down the 4 → 114
- Step 2: How many times does 16 go into 114?
→ 16 × 7 = 112
→ 16 × 8 = 128 (too big)
So, 7 times.
Write 7 next to the 1 → quotient is 17
Subtract: 114 - 112 = 2
- Remainder = 2
✔ Answer: 17 R2
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4) 138 ÷ 11
Divide 138 by 11.
- Step 1: How many times does 11 go into 13?
→ 11 × 1 = 11
→ 11 × 2 = 22 (too big)
So, 1 time.
Write 1 above the 3.
Subtract: 13 - 11 = 2
- Bring down the 8 → 28
- Step 2: How many times does 11 go into 28?
→ 11 × 2 = 22
→ 11 × 3 = 33 (too big)
So, 2 times.
Write 2 next to the 1 → quotient is 12
Subtract: 28 - 22 = 6
- Remainder = 6
✔ Answer: 12 R6
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5) 448 ÷ 20
Divide 448 by 20.
- Step 1: How many times does 20 go into 44?
→ 20 × 2 = 40
→ 20 × 3 = 60 (too big)
So, 2 times.
Write 2 above the 4 in 448.
Subtract: 44 - 40 = 4
- Bring down the 8 → 48
- Step 2: How many times does 20 go into 48?
→ 20 × 2 = 40
→ 20 × 3 = 60 (too big)
So, 2 times.
Write 2 next to the 2 → quotient is 22
Subtract: 48 - 40 = 8
- Remainder = 8
✔ Answer: 22 R8
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6) 909 ÷ 47
Divide 909 by 47.
- Step 1: How many times does 47 go into 90?
→ 47 × 1 = 47
→ 47 × 2 = 94 (too big)
So, 1 time.
Write 1 above the 0 in 909.
Subtract: 90 - 47 = 43
- Bring down the 9 → 439
- Step 2: How many times does 47 go into 439?
Try:
→ 47 × 9 = 423
→ 47 × 10 = 470 (too big)
So, 9 times.
Write 9 next to the 1 → quotient is 19
Subtract: 439 - 423 = 16
- Remainder = 16
✔ Answer: 19 R16
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✔ Final Answers:
1) 894 ÷ 37 = 24 R6
2) 418 ÷ 33 = 12 R22
3) 274 ÷ 16 = 17 R2
4) 138 ÷ 11 = 12 R6
5) 448 ÷ 20 = 22 R8
6) 909 ÷ 47 = 19 R16
Let me know if you'd like these written out in long division format!
Parent Tip: Review the logic above to help your child master the concept of triple digit division worksheet.