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Division with Remainders IntroFREEWorksheet Generator(Grade 3)

Q: How do you solve a division with remainders intro problem step by step?

Here is a worked example: "Divide 38 by 5. State the quotient and remainder.". Solution: Step 1: Find the largest multiple of 5 that is less than or equal to 38: 5 × 7 = 35. Step 2: Subtract to find the leftover remainder: 38 − 35 = 3. Step 3: Check that the remainder is less than the divisor: 3 < 5. Step 4: Verify: (5 × 7) + 3 = 35 + 3 = 38. Therefore, 38 ÷ 5 = 7 R 3.

Q: What is the core learning objective for division with remainders intro?

Solve whole-number division problems with single-digit divisors resulting in a whole number quotient and remainder, understanding that the remainder must always be strictly less than the divisor. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.3.OA.A.3.

Q: How does the unlimited division with remainders intro worksheet generator work?

Every click of 'Generate New Worksheet' creates a completely fresh set of division with remainders intro problems with unique numbers. No two worksheets are ever the same — perfect for daily practice, homework variety, and preventing student copying. You can also customize the problem count (6, 8, 10, 12, 15, or 20 problems per sheet).

Q: Are these division with remainders intro worksheets free to print with answer keys?

Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.

Division with Remainders Intro worksheets (Grade 3) with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems.

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Set A • 10 Qs

PanMaths.comDivision with Remainders Intro Worksheets • Set A (Medium)

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PanMaths.com • Free Math Worksheet Generator • Set A (Medium)Page 1 of 2

PanMaths.comAnswer Key & Worked Solutions • Set A (Medium)

Answer Key

Total Problems: 10

R 6

Quotient:7 R 6

1. Find Largest Multiple: The largest multiple of 7 that is ≤ 55 is 7 × 7 = 49.

2. Subtract to Find Remainder: 55 − 49 = 6.

3. Remainder Rule Check: Remainder 6 is strictly less than divisor 7 (6 < 7) ✅

4. Complete Division with Remainder: 55 ÷ 7 = 7 R 6 (Check: 7 × 7 + 6 = 55) ✅

R 2

Quotient:5 R 2

1. Find Largest Multiple: The largest multiple of 8 that is ≤ 42 is 8 × 5 = 40.

2. Subtract to Find Remainder: 42 − 40 = 2.

3. Remainder Rule Check: Remainder 2 is strictly less than divisor 8 (2 < 8) ✅

4. Complete Division with Remainder: 42 ÷ 8 = 5 R 2 (Check: 5 × 8 + 2 = 42) ✅

R 7

Quotient:8 R 7

1. Find Largest Multiple: The largest multiple of 9 that is ≤ 79 is 9 × 8 = 72.

2. Subtract to Find Remainder: 79 − 72 = 7.

3. Remainder Rule Check: Remainder 7 is strictly less than divisor 9 (7 < 9) ✅

4. Complete Division with Remainder: 79 ÷ 9 = 8 R 7 (Check: 8 × 9 + 7 = 79) ✅

R 4

Quotient:7 R 4

1. Find Largest Multiple: The largest multiple of 9 that is ≤ 67 is 9 × 7 = 63.

2. Subtract to Find Remainder: 67 − 63 = 4.

3. Remainder Rule Check: Remainder 4 is strictly less than divisor 9 (4 < 9) ✅

4. Complete Division with Remainder: 67 ÷ 9 = 7 R 4 (Check: 7 × 9 + 4 = 67) ✅

R 5

Quotient:4 R 5

1. Find Largest Multiple: The largest multiple of 6 that is ≤ 29 is 6 × 4 = 24.

2. Subtract to Find Remainder: 29 − 24 = 5.

3. Remainder Rule Check: Remainder 5 is strictly less than divisor 6 (5 < 6) ✅

4. Complete Division with Remainder: 29 ÷ 6 = 4 R 5 (Check: 4 × 6 + 5 = 29) ✅

R 8

Quotient:4 R 8

1. Find Largest Multiple: The largest multiple of 9 that is ≤ 44 is 9 × 4 = 36.

2. Subtract to Find Remainder: 44 − 36 = 8.

3. Remainder Rule Check: Remainder 8 is strictly less than divisor 9 (8 < 9) ✅

4. Complete Division with Remainder: 44 ÷ 9 = 4 R 8 (Check: 4 × 9 + 8 = 44) ✅

R 1

Quotient:7 R 1

1. Find Largest Multiple: The largest multiple of 6 that is ≤ 43 is 6 × 7 = 42.

2. Subtract to Find Remainder: 43 − 42 = 1.

3. Remainder Rule Check: Remainder 1 is strictly less than divisor 6 (1 < 6) ✅

4. Complete Division with Remainder: 43 ÷ 6 = 7 R 1 (Check: 7 × 6 + 1 = 43) ✅

R 3

Quotient:9 R 3

1. Find Largest Multiple: The largest multiple of 5 that is ≤ 48 is 5 × 9 = 45.

2. Subtract to Find Remainder: 48 − 45 = 3.

3. Remainder Rule Check: Remainder 3 is strictly less than divisor 5 (3 < 5) ✅

4. Complete Division with Remainder: 48 ÷ 5 = 9 R 3 (Check: 9 × 5 + 3 = 48) ✅

R 5

Quotient:8 R 5

1. Find Largest Multiple: The largest multiple of 6 that is ≤ 53 is 6 × 8 = 48.

2. Subtract to Find Remainder: 53 − 48 = 5.

3. Remainder Rule Check: Remainder 5 is strictly less than divisor 6 (5 < 6) ✅

4. Complete Division with Remainder: 53 ÷ 6 = 8 R 5 (Check: 8 × 6 + 5 = 53) ✅

10.

R 2

Quotient:7 R 2

1. Find Largest Multiple: The largest multiple of 5 that is ≤ 37 is 5 × 7 = 35.

2. Subtract to Find Remainder: 37 − 35 = 2.

3. Remainder Rule Check: Remainder 2 is strictly less than divisor 5 (2 < 5) ✅

4. Complete Division with Remainder: 37 ÷ 5 = 7 R 2 (Check: 7 × 5 + 2 = 37) ✅

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Worksheet Info

Categorygrade-3

Grade LevelGrade 3

DifficultyEasy, Medium, Hard, Sprint

Time5-10 min

CCSS CodeCCSS.MATH.CONTENT.3.OA.A.3

Skills Practiced

✓ Division with Remainders Intro

Key Strategies

🎯 Largest Multiple First: Find the closest multiple of the divisor that does not exceed the dividend. For 23 ÷ 4, the largest multiple of 4 ≤ 23 is 20 (4 × 5 = 20).
➖ Subtraction for the Remainder: Subtract the multiple from the dividend: 23 − 20 = 3. Since 3 < 4, the remainder is 3. The answer is 5 R 3.
⚖️ The Remainder Rule (R < Divisor): The remainder must always be strictly smaller than the divisor. If the remainder is equal to or greater than the divisor, another whole group can be made.
🔍 Multiplication Verification Check: Check your work using the division algorithm: (Divisor × Quotient) + Remainder = Dividend. (4 × 5) + 3 = 20 + 3 = 23 ✅

🎮 Interactive Warm-Up

Division Meteor Defense Arcade

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Related Worksheets

📄 Multiplication Tables 0 to 5View →📄 Multiplication Tables 6 to 10View →📄 Commutative Property of MultiplicationView →📄 Associative Property of MultiplicationView →📄 Distributive Property GridView →📄 Division Facts as Inverse MultiplicationView →

📜 Standard: CCSS.MATH.CONTENT.3.OA.A.3🔗 CCSS.MATH.CONTENT.3.OA.B.6🔗 CCSS.MATH.CONTENT.4.OA.A.3

Mastering Division with Remainders Intro: Core Concepts & Mental Models

When sharing objects equally into groups, there are often leftover items that cannot form another complete group. In mathematics, these leftovers are called the remainder. For 17 ÷ 3, we can make 5 equal groups of 3 (using 15 items), leaving 2 leftover items that cannot be grouped. Thus, 17 ÷ 3 = 5 R 2.

Worked Example & SolutionTeacher Step-by-Step Method

📝 Problem: Divide 38 by 5. State the quotient and remainder.

Worked Solution: Step 1: Find the largest multiple of 5 that is less than or equal to 38: 5 × 7 = 35. Step 2: Subtract to find the leftover remainder: 38 − 35 = 3. Step 3: Check that the remainder is less than the divisor: 3 < 5. Step 4: Verify: (5 × 7) + 3 = 35 + 3 = 38. Therefore, 38 ÷ 5 = 7 R 3.

💡 Essential Strategies for Division with Remainders Intro

🎯 Largest Multiple First

Find the closest multiple of the divisor that does not exceed the dividend. For 23 ÷ 4, the largest multiple of 4 ≤ 23 is 20 (4 × 5 = 20).

➖ Subtraction for the Remainder

Subtract the multiple from the dividend: 23 − 20 = 3. Since 3 < 4, the remainder is 3. The answer is 5 R 3.

⚖️ The Remainder Rule (R < Divisor)

The remainder must always be strictly smaller than the divisor. If the remainder is equal to or greater than the divisor, another whole group can be made.

🔍 Multiplication Verification Check

Check your work using the division algorithm: (Divisor × Quotient) + Remainder = Dividend. (4 × 5) + 3 = 20 + 3 = 23 ✅

📖 Key Mathematical Vocabulary

Remainder

The amount leftover after dividing into equal groups that is smaller than the divisor (e.g., in 17 ÷ 3 = 5 R 2, 2 is the remainder).

Quotient

The number of times the divisor fits into the dividend completely (e.g., in 17 ÷ 3 = 5 R 2, 5 is the quotient).

Dividend

The total quantity being divided or shared (in 17 ÷ 3 = 5 R 2, 17 is the dividend).

Divisor

The size of each group or the number of groups (in 17 ÷ 3 = 5 R 2, 3 is the divisor).

❓ Frequently Asked Questions

How do you solve a division with remainders intro problem step by step?

Here is a worked example: "Divide 38 by 5. State the quotient and remainder.". Solution: Step 1: Find the largest multiple of 5 that is less than or equal to 38: 5 × 7 = 35. Step 2: Subtract to find the leftover remainder: 38 − 35 = 3. Step 3: Check that the remainder is less than the divisor: 3 < 5. Step 4: Verify: (5 × 7) + 3 = 35 + 3 = 38. Therefore, 38 ÷ 5 = 7 R 3.

What is the core learning objective for division with remainders intro?

Solve whole-number division problems with single-digit divisors resulting in a whole number quotient and remainder, understanding that the remainder must always be strictly less than the divisor. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.3.OA.A.3.

How does the unlimited division with remainders intro worksheet generator work?

Every click of 'Generate New Worksheet' creates a completely fresh set of division with remainders intro problems with unique numbers. No two worksheets are ever the same — perfect for daily practice, homework variety, and preventing student copying. You can also customize the problem count (6, 8, 10, 12, 15, or 20 problems per sheet).

Are these division with remainders intro worksheets free to print with answer keys?

Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.