๐ŸŽ“ Grades 4-5๐Ÿ“„ Free PDF + Keysโ™พ๏ธ Dynamic Generator

3-Digit byย 1-Digit Long DivisionFREEWorksheet Generator(Grades 4-5)

3-Digit by 1-Digit Long Division worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 4โ€“5.

Level:
Set:
Count:
Set A โ€ข 6 Qs
PanMaths.com3-Digit by 1-Digit Long Division Worksheets โ€ข Set A (Medium)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 6
1.
3
5
8
1
Quotient:
2.
5
2
7
4
Quotient:
3.
2
9
1
5
Quotient:
4.
6
8
3
1
Quotient:
5.
9
8
0
8
Quotient:
6.
8
3
4
7
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.
3
1
9
3
R 2
5
8
1
Quotient:193 R 2
1. Divide 5 รท 3 = 1 (1 ร— 3 = 3), Subtract 5 - 3 = 2, Bring down 8 โ†’ 28
2. Divide 28 รท 3 = 9 (9 ร— 3 = 27), Subtract 28 - 27 = 1, Bring down 1 โ†’ 11
3. Divide 11 รท 3 = 3 (3 ร— 3 = 9), Remainder = 2
Final Quotient: 193 R 2 (Check: 193 ร— 3 + 2 = 581) โœ…
2.
5
5
4
R 4
2
7
4
Quotient:54 R 4
1. Divide 27 รท 5 = 5 (5 ร— 5 = 25), Subtract 27 - 25 = 2, Bring down 4 โ†’ 24
2. Divide 24 รท 5 = 4 (4 ร— 5 = 20), Remainder = 4
Final Quotient: 54 R 4 (Check: 54 ร— 5 + 4 = 274) โœ…
3.
2
4
5
7
R 1
9
1
5
Quotient:457 R 1
1. Divide 9 รท 2 = 4 (4 ร— 2 = 8), Subtract 9 - 8 = 1, Bring down 1 โ†’ 11
2. Divide 11 รท 2 = 5 (5 ร— 2 = 10), Subtract 11 - 10 = 1, Bring down 5 โ†’ 15
3. Divide 15 รท 2 = 7 (7 ร— 2 = 14), Remainder = 1
Final Quotient: 457 R 1 (Check: 457 ร— 2 + 1 = 915) โœ…
4.
6
1
3
8
R 3
8
3
1
Quotient:138 R 3
1. Divide 8 รท 6 = 1 (1 ร— 6 = 6), Subtract 8 - 6 = 2, Bring down 3 โ†’ 23
2. Divide 23 รท 6 = 3 (3 ร— 6 = 18), Subtract 23 - 18 = 5, Bring down 1 โ†’ 51
3. Divide 51 รท 6 = 8 (8 ร— 6 = 48), Remainder = 3
Final Quotient: 138 R 3 (Check: 138 ร— 6 + 3 = 831) โœ…
5.
9
8
9
R 7
8
0
8
Quotient:89 R 7
1. Divide 80 รท 9 = 8 (8 ร— 9 = 72), Subtract 80 - 72 = 8, Bring down 8 โ†’ 88
2. Divide 88 รท 9 = 9 (9 ร— 9 = 81), Remainder = 7
Final Quotient: 89 R 7 (Check: 89 ร— 9 + 7 = 808) โœ…
6.
8
4
3
R 3
3
4
7
Quotient:43 R 3
1. Divide 34 รท 8 = 4 (4 ร— 8 = 32), Subtract 34 - 32 = 2, Bring down 7 โ†’ 27
2. Divide 27 รท 8 = 3 (3 ร— 8 = 24), Remainder = 3
Final Quotient: 43 R 3 (Check: 43 ร— 8 + 3 = 347) โœ…
PanMaths.com โ€ข Answer Key & Worked SolutionsPage 2 of 2
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Worksheet Info

Categoryarithmetic
Grade LevelGrades 4-5
DifficultyStandard to Remainders
Time15-20 min

Skills Practiced

  • โœ“ 3-digit by 1-digit division
  • โœ“ DMSB quotient unravelling
  • โœ“ Quotients with remainders
๐ŸŽฎ Interactive Warm-Up

Division Meteor Defense Arcade

Warm up with 60 seconds of rapid mental math practice before printing!

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Related Worksheets

Mastering 3-Digit by 1-Digit Long Division: Core Concepts & Mental Models

3-Digit by 1-Digit Long Division worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 4โ€“5.

โš ๏ธ Common Mistakes & Teacher Fixes

โš ๏ธSkipping the Zero in the Middle of a Quotient

Why students stumble: When the divisor does not divide into a brought-down digit, students bring down the next digit without recording a 0 in the quotient.

Teacher Fix: Rule: "Every time you bring down a digit, you MUST record a number in the quotient (even if it is 0)!"
Example: In 618 รท 6: 6 goes into 6 once (1). 6 goes into 1 ZERO times (0). 6 goes into 18 three times (3) โž” 103, NOT 13.
โš ๏ธRemainder Greater Than or Equal to Divisor

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

Teacher Fix: Always check: Subtraction result MUST be strictly less than the divisor before bringing down the next digit.
Example: In 29 รท 4: if you guess 6, 29 - 24 = 5. Since 5 โ‰ฅ 4, 6 was too small. Correct quotient is 7 (29 - 28 = 1).

โ“ Frequently Asked Questions

What grade is 3-digit by 1-digit division taught in?

3-digit by 1-digit division is a central Grade 4 Common Core standard (CCSS.MATH.CONTENT.4.NBT.B.6) and reinforced in Grade 5.

Do these worksheets include problems with remainders?

Yes! Set A features exact whole quotients, while Set B, C, and D feature realistic classroom problems with remainders.

How do you print these worksheets?

Click the ๐Ÿ–จ๏ธ Print Set A button for instant, zero-bleed physical printing with student metadata lines and full answer keys.

The 4-Step DMSB Division Algorithm

Long division uses a repeating 4-step memory cycle:

  1. D โ€” Divide: How many times does the divisor fit into the current working number?
  2. M โ€” Multiply: Multiply the quotient digit by the divisor.
  3. S โ€” Subtract: Subtract that product from the working number to find the remainder.
  4. B โ€” Bring Down: Bring down the next digit from the dividend to form the new working number.

Repeat DMSB until all digits have been brought down!

๐Ÿ’ก 1. Remember DMSB (Does McDonalds Serve Burgers?)

Divide, Multiply, Subtract, Bring Down. Say the mantra on every single step of the calculation.

๐Ÿ’ก 2. Align Quotient Digits Above the Right Column

If dividing into the tens digit, place the quotient digit directly above the tens digit of the dividend.

๐Ÿ’ก 3. Check with Multiplication

Verify your answer: (Quotient ร— Divisor) + Remainder = Dividend.

The 4-Step DMSB Division Algorithm

Long division uses a repeating 4-step memory cycle:

  1. D โ€” Divide: How many times does the divisor fit into the current working number?
  2. M โ€” Multiply: Multiply the quotient digit by the divisor.
  3. S โ€” Subtract: Subtract that product from the working number to find the remainder.
  4. B โ€” Bring Down: Bring down the next digit from the dividend to form the new working number.

Repeat DMSB until all digits have been brought down!

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Benefits of Mastery

โŸŒ Authentic Division Brackets

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

โญ• Quotient Zero Practice

Targeted drills to prevent dropping middle zeros in 3-digit division.

๐Ÿ“„ 4 Differentiated Sets

Set A exact, Set B remainders, Set C tricky zeros, and Set D sprint.

๐Ÿ” Step-by-Step Solutions

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