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Free Double-Digit Divisor Long Division Worksheets (Grades 5-6)

Practice double-digit divisor long division (Grades 5-6) with free printable PDF worksheets. 4 pre-packaged classroom sets with 100% verified step-by-step answer keys, plus an unlimited live customizer for teachers and homeschoolers.

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PanMaths.comDouble-Digit Divisor Long Division Worksheets • Set A (Standard)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 6
Directions: Solve each problem carefully. Show all intermediate work in the workspace provided.
1.
34
4
9
0
Quotient:
2.
72
2
2
9
Quotient:
3.
89
5
2
5
Quotient:
4.
34
1
0
2
Quotient:
5.
63
2
8
6
Quotient:
6.
28
3
9
5
Quotient:
PanMaths.com • Free Printable Math WorksheetsPage 1 of 2
PanMaths.comAnswer Key & Worked Solutions • Set A (Standard)
Answer Key
Total Problems: 6
Teacher & Parent Guide: Intermediate evaluation steps are provided for step-by-step grading and student self-correction.
1.
34
14 R 14
4
9
0
Quotient:14 R 14
1. Divide 49 ÷ 34 = 1 (1 × 34 = 34), Subtract 49 - 34 = 15, Bring down 0 → 150
2. Divide 150 ÷ 34 = 4 (4 × 34 = 136), Remainder = 14
Final Quotient: 14 R 14 (Check: 14 × 34 + 14 = 490) ✅
2.
72
3 R 13
2
2
9
Quotient:3 R 13
1. Divide 229 ÷ 72 = 3 (3 × 72 = 216), Remainder = 13
Final Quotient: 3 R 13 (Check: 3 × 72 + 13 = 229) ✅
3.
89
5 R 80
5
2
5
Quotient:5 R 80
1. Divide 525 ÷ 89 = 5 (5 × 89 = 445), Remainder = 80
Final Quotient: 5 R 80 (Check: 5 × 89 + 80 = 525) ✅
4.
34
3
1
0
2
Quotient:3
1. Divide 102 ÷ 34 = 3 (3 × 34 = 102), Remainder = 0
Final Quotient: 3 (Check: 3 × 34 = 102) ✅
5.
63
4 R 34
2
8
6
Quotient:4 R 34
1. Divide 286 ÷ 63 = 4 (4 × 63 = 252), Remainder = 34
Final Quotient: 4 R 34 (Check: 4 × 63 + 34 = 286) ✅
6.
28
14 R 3
3
9
5
Quotient:14 R 3
1. Divide 39 ÷ 28 = 1 (1 × 28 = 28), Subtract 39 - 28 = 11, Bring down 5 → 115
2. Divide 115 ÷ 28 = 4 (4 × 28 = 112), Remainder = 3
Final Quotient: 14 R 3 (Check: 14 × 28 + 3 = 395) ✅
PanMaths.com • Answer Key & SolutionsPage 2 of 2
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1. Set Options & Count

Select difficulty (Easy, Medium, Hard) and choose your exact problem count (8, 12, 16, or 20 problems per sheet).

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Worksheet Info

Categoryarithmetic
Grade LevelGrades 5-6
DifficultyChallenging
Time20-30 min

Skills Practiced

  • ✓ 2-digit divisor long division
  • ✓ Trial quotients & estimation
  • ✓ Multi-step scratchwork
🎮 Interactive Warm-Up

Division Mastery

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Related Worksheets

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💡 1. Round Divisor to the Nearest 10

Estimation is key: round 48 to 50, 72 to 70. Use single-digit division facts to guess quotient digits.

💡 2. Keep a Side Scratch Column

Use the right margin of the worksheet to multiply candidate quotient digits by the divisor before writing them in the bracket.

💡 3. Check the Remainder Rule

The remainder at every intermediate step must always be less than the divisor.

How to Master 2-Digit Divisors Using Compatible Numbers

Dividing by two-digit divisors is widely considered the most challenging arithmetic topic in Grade 5. The secret to fluency is compatible number estimation:

  1. Round the Divisor: If the divisor is 23, think 20. If it is 48, think 50.
  2. Estimate the First Quotient Digit: Use the leading digit of your rounded divisor to estimate how many times it fits into the leading digits of the dividend.
  3. Multiply & Adjust: Multiply your estimated quotient by the real divisor. If the product is too large, drop the estimate by 1; if the remainder is too large, increase by 1.
  4. Subtract and Bring Down: Complete the standard DMSB step cycle.
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Benefits of Mastery

⟌ Authentic Division Brackets

Curved SVG division brackets with top quotient lines and place-value scratchwork.

💡 Compatible Number Strategy

Teaches estimation shortcuts for fast 2-digit divisor division.

📄 4 Differentiated Sets

Set A teen divisors, Set B 20–50, Set C 50–99, and Set D timed sprint.

🔍 Step-by-Step Solutions

Complete step-by-step intermediate evaluations on Page 2 for 1-minute grading.

Frequently Asked Questions

What grade level teaches double-digit divisor division?

Double-digit divisor long division is a core Grade 5 standard (CCSS.MATH.CONTENT.5.NBT.B.6) and is mastered in Grade 6 (CCSS.MATH.CONTENT.6.NS.B.2).

How do students estimate quotients with 2-digit divisors?

Students round the divisor to the nearest 10 (e.g. 38 rounds to 40) and use single-digit division facts on the leading digits of the dividend to find a candidate quotient digit.

Are there answer keys with full intermediate calculation steps?

Yes! Page 2 includes verified step-by-step quotient unravelling, subtraction products, and final remainders.