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Long Division with Step-by-Step AnswersFREEWorksheet Generator(Grades 4-6)

Long Division with Step-by-Step Answers worksheets with step-by-step answer keys. Generate unlimited unique practice sheets for Grades 4โ€“6.

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Set A โ€ข 6 Qs
PanMaths.comLong Division Worksheets (No Remainders) with Step-by-Step Answers โ€ข Set A (Medium)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 6
1.
8
5
5
2
Quotient:
2.
4
2
0
0
Quotient:
3.
8
2
8
0
Quotient:
4.
3
1
2
0
Quotient:
5.
4
4
8
0
Quotient:
6.
6
5
8
2
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.
8
6
9
5
5
2
Quotient:69
1. Divide 55 รท 8 = 6 (6 ร— 8 = 48), Subtract 55 - 48 = 7, Bring down 2 โ†’ 72
2. Divide 72 รท 8 = 9 (9 ร— 8 = 72), Remainder = 0
Final Quotient: 69 (Check: 69 ร— 8 = 552) โœ…
2.
4
5
0
2
0
0
Quotient:50
1. Divide 20 รท 4 = 5 (5 ร— 4 = 20), Subtract 20 - 20 = 0, Bring down 0 โ†’ 0
2. Divide 0 รท 4 = 0 (0 ร— 4 = 0), Remainder = 0
Final Quotient: 50 (Check: 50 ร— 4 = 200) โœ…
3.
8
3
5
2
8
0
Quotient:35
1. Divide 28 รท 8 = 3 (3 ร— 8 = 24), Subtract 28 - 24 = 4, Bring down 0 โ†’ 40
2. Divide 40 รท 8 = 5 (5 ร— 8 = 40), Remainder = 0
Final Quotient: 35 (Check: 35 ร— 8 = 280) โœ…
4.
3
4
0
1
2
0
Quotient:40
1. Divide 12 รท 3 = 4 (4 ร— 3 = 12), Subtract 12 - 12 = 0, Bring down 0 โ†’ 0
2. Divide 0 รท 3 = 0 (0 ร— 3 = 0), Remainder = 0
Final Quotient: 40 (Check: 40 ร— 3 = 120) โœ…
5.
4
1
2
0
4
8
0
Quotient:120
1. Divide 4 รท 4 = 1 (1 ร— 4 = 4), Subtract 4 - 4 = 0, Bring down 8 โ†’ 8
2. Divide 8 รท 4 = 2 (2 ร— 4 = 8), Subtract 8 - 8 = 0, Bring down 0 โ†’ 0
3. Divide 0 รท 4 = 0 (0 ร— 4 = 0), Remainder = 0
Final Quotient: 120 (Check: 120 ร— 4 = 480) โœ…
6.
6
9
7
5
8
2
Quotient:97
1. Divide 58 รท 6 = 9 (9 ร— 6 = 54), Subtract 58 - 54 = 4, Bring down 2 โ†’ 42
2. Divide 42 รท 6 = 7 (7 ร— 6 = 42), Remainder = 0
Final Quotient: 97 (Check: 97 ร— 6 = 582) โœ…
PanMaths.com โ€ข Answer Key & Worked SolutionsPage 2 of 2
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Worksheet Info

Categoryarithmetic
Grade LevelGrades 4-6
DifficultyIntermediate (2 to 4-Digit Dividends, Zero Remainder)
Time15-20 min

Skills Practiced

  • โœ“ Standard DMSB long division algorithm (Divide, Multiply, Subtract, Bring down)
  • โœ“ Multi-digit place-value column alignment in curved brackets
  • โœ“ Handling zero digits in quotients correctly
  • โœ“ Exact zero-remainder integer division verification
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Related Worksheets

The 4-Step DMSB Cycle Walkthrough

Consider solving 492 รท 4 inside the curved division bracket:

  1. Divide: How many times does 4 go into 4? Exactly 1 time. Write 1 above the 4 in the hundreds place.
  2. Multiply: Multiply 1 ร— 4 = 4. Write 4 below the dividend's hundreds digit.
  3. Subtract: Subtract 4 - 4 = 0.
  4. Bring Down: Bring down the next digit (9) to make 09.
  5. Repeat the Cycle: 4 goes into 9 twice (write 2 in tens place), 2 ร— 4 = 8, 9 - 8 = 1. Bring down the 2 to make 12. 4 goes into 12 three times (write 3 in ones place), 3 ร— 4 = 12, 12 - 12 = 0! Final Quotient: 123.

How to Avoid the Infamous 'Zero in the Quotient' Trap

When dividing numbers like 816 รท 4, many students mistakenly write 24 instead of 204. Why? After dividing 8 รท 4 = 2, they bring down the 1. Since 4 cannot go into 1, students often bring down the 6 without writing a 0 in the quotient! PanMaths worksheets feature emerald step-by-step unravellings that explicitly highlight each place-value slot: 1 รท 4 = 0, so a zero MUST be written in the tens column before bringing down the next digit.

Dual-Version Anti-Cheat Printing for Math Classrooms

Every worksheet generated on PanMaths is optimized for standard US Letter and A4 printers. The printable canvas features generous vertical pencil workspace for column scratchwork. Teachers can toggle between Set A and Set B to print two distinct sheets with identical difficulty, stopping wandering eyes during desk tests. The second page prints an emerald step-by-step DMSB evaluation key for effortless 60-second grading.