Learn on PengiEureka Math, Grade 4Chapter 13: Division of Tens and Ones with Successive Remainders

Lesson 5: Find whole number quotients and remainders.

In this Grade 4 Eureka Math lesson, students learn to find whole number quotients and remainders by dividing two-digit numbers by one-digit divisors using the standard long division algorithm. The lesson focuses on unbundling tens into ones when a remainder occurs in the tens place, and recording remainders correctly in both the tens and ones places. Students also practice checking their answers using the inverse relationship between multiplication and division.

Section 1

Standard Division Algorithm with Unbundling

Property

The standard algorithm for division follows the steps: Divide, Multiply, Subtract, and Bring Down. When a remainder exists after dividing the tens, it is "unbundled" (regrouped) with the ones digit to form a new number to be divided.

Examples

Section 2

Mental Division Using Multiplication Facts

Property

To mentally solve a division problem, find a quotient (qq) and a remainder (rr) that satisfy the equation:

(divisor×q)+r=dividend(\text{divisor} \times q) + r = \text{dividend}
where the remainder is less than the divisor (0≤r<divisor0 \leq r < \text{divisor}).

Examples

Book overview

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Chapter 13: Division of Tens and Ones with Successive Remainders

  1. Lesson 1

    Lesson 1: Solve division word problems with remainders.

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  2. Lesson 2

    Lesson 2: Understand and solve division problems with a remainder using the array and area models.

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  3. Lesson 3

    Lesson 3: Understand and solve two-digit dividend division problems with a remainder in the ones place by using place value disks.

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  4. Lesson 4

    Lesson 4: Represent and solve division problems requiring decomposing a remainder in the tens.

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  5. Lesson 5Current

    Lesson 5: Find whole number quotients and remainders.

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  6. Lesson 6

    Lesson 6: Explain remainders by using place value understanding and models.

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  7. Lesson 7

    Lesson 7: Solve division problems without remainders using the area model.

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  8. Lesson 8

    Lesson 8: Solve division problems with remainders using the area model.

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Lesson overview

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Section 1

Standard Division Algorithm with Unbundling

Property

The standard algorithm for division follows the steps: Divide, Multiply, Subtract, and Bring Down. When a remainder exists after dividing the tens, it is "unbundled" (regrouped) with the ones digit to form a new number to be divided.

Examples

Section 2

Mental Division Using Multiplication Facts

Property

To mentally solve a division problem, find a quotient (qq) and a remainder (rr) that satisfy the equation:

(divisor×q)+r=dividend(\text{divisor} \times q) + r = \text{dividend}
where the remainder is less than the divisor (0≤r<divisor0 \leq r < \text{divisor}).

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 13: Division of Tens and Ones with Successive Remainders

  1. Lesson 1

    Lesson 1: Solve division word problems with remainders.

    LearnPractice
  2. Lesson 2

    Lesson 2: Understand and solve division problems with a remainder using the array and area models.

    LearnPractice
  3. Lesson 3

    Lesson 3: Understand and solve two-digit dividend division problems with a remainder in the ones place by using place value disks.

    LearnPractice
  4. Lesson 4

    Lesson 4: Represent and solve division problems requiring decomposing a remainder in the tens.

    LearnPractice
  5. Lesson 5Current

    Lesson 5: Find whole number quotients and remainders.

    LearnPractice
  6. Lesson 6

    Lesson 6: Explain remainders by using place value understanding and models.

    LearnPractice
  7. Lesson 7

    Lesson 7: Solve division problems without remainders using the area model.

    LearnPractice
  8. Lesson 8

    Lesson 8: Solve division problems with remainders using the area model.

    LearnPractice