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Double-Digit Divisor Long DivisionFREEWorksheet Generator(Grades 5-6)

Double-Digit Divisor Long Division worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 5โ€“6.

Level:
Set:
Count:
Set A โ€ข 6 Qs
PanMaths.comDouble-Digit Divisor Long Division Worksheets โ€ข Set A (Medium)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 6
1.
74
6
4
7
Quotient:
2.
33
1
3
3
Quotient:
3.
42
9
2
7
Quotient:
4.
56
1
5
1
Quotient:
5.
54
2
4
5
Quotient:
6.
71
4
0
5
Quotient:
PanMaths.com โ€ข Free Math Worksheet Generator โ€ข Set A (Medium)Page 1 of 2
PanMaths.comAnswer Key & Worked Solutions โ€ข Set A (Medium)
Answer Key
Total Problems: 6
1.
74
8
R 55
6
4
7
Quotient:8 R 55
1. Divide 647 รท 74 = 8 (8 ร— 74 = 592), Remainder = 55
Final Quotient: 8 R 55 (Check: 8 ร— 74 + 55 = 647) โœ…
2.
33
4
R 1
1
3
3
Quotient:4 R 1
1. Divide 133 รท 33 = 4 (4 ร— 33 = 132), Remainder = 1
Final Quotient: 4 R 1 (Check: 4 ร— 33 + 1 = 133) โœ…
3.
42
2
2
R 3
9
2
7
Quotient:22 R 3
1. Divide 92 รท 42 = 2 (2 ร— 42 = 84), Subtract 92 - 84 = 8, Bring down 7 โ†’ 87
2. Divide 87 รท 42 = 2 (2 ร— 42 = 84), Remainder = 3
Final Quotient: 22 R 3 (Check: 22 ร— 42 + 3 = 927) โœ…
4.
56
2
R 39
1
5
1
Quotient:2 R 39
1. Divide 151 รท 56 = 2 (2 ร— 56 = 112), Remainder = 39
Final Quotient: 2 R 39 (Check: 2 ร— 56 + 39 = 151) โœ…
5.
54
4
R 29
2
4
5
Quotient:4 R 29
1. Divide 245 รท 54 = 4 (4 ร— 54 = 216), Remainder = 29
Final Quotient: 4 R 29 (Check: 4 ร— 54 + 29 = 245) โœ…
6.
71
5
R 50
4
0
5
Quotient:5 R 50
1. Divide 405 รท 71 = 5 (5 ร— 71 = 355), Remainder = 50
Final Quotient: 5 R 50 (Check: 5 ร— 71 + 50 = 405) โœ…
PanMaths.com โ€ข Answer Key & Worked SolutionsPage 2 of 2
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Worksheet Info

Categoryarithmetic
Grade LevelGrades 5-6
DifficultyChallenging
Time20-30 min

Skills Practiced

  • โœ“ 2-digit divisor long division
  • โœ“ Trial quotients & estimation
  • โœ“ Multi-step scratchwork
๐ŸŽฎ Interactive Warm-Up

Division Meteor Defense Arcade

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Related Worksheets

Mastering Double-Digit Divisor Long Division: Core Concepts & Mental Models

Double-Digit Divisor Long Division worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 5โ€“6.

โš ๏ธ Common Mistakes & Teacher Fixes

โš ๏ธWild Guessing Without Rounding Compatible Numbers

Why students stumble: Students struggle to estimate how many times a 2-digit number (like 38) fits into a 3-digit number (like 275).

Teacher Fix: Round the divisor to the nearest 10: round 38 up to 40, then think "How many 4s in 27?" (6 or 7).
Example: Estimating 275 รท 38: think 280 รท 40 = 7. Test 38 ร— 7 = 266 (fits perfectly!).
โš ๏ธLeaving a Subtraction Difference Larger Than the Divisor

Why students stumble: Underestimating the quotient leaves a remainder larger than the 2-digit divisor.

Teacher Fix: Always check: The difference after subtracting MUST be strictly less than the divisor.
Example: If dividing by 25 and your subtraction leaves 28, your quotient digit was 1 too low.

โ“ 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.

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.

๐Ÿ’ก 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.

๐Ÿ’ก 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.

๐Ÿ’ก 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

โŸŒ Authentic Division Brackets

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

๐Ÿ’ก Compatible Number Strategy

Teaches estimation shortcuts for fast 2-digit divisor division.

๐Ÿ“„ 4 Differentiated Sets

Set A teen divisors, Set B 20โ€“50, Set C 50โ€“99, and Set D timed sprint.

๐Ÿ” Step-by-Step Solutions

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