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

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

In this Grade 4 Eureka Math lesson from Chapter 13, students learn to solve two-digit dividend division problems where a remainder appears in the ones place by modeling the process with place value disks. Students practice distributing tens and ones into equal groups using long division notation, connecting the physical disk model to the written algorithm. The lesson builds on prior work with single-digit dividends and remainders to develop fluency with problems like 36 ÷ 3 and interpreting what remains after equal distribution.

Section 1

Model Division with Place Value Disks

Property

To divide a number using place value disks, distribute the disks for each place value, starting with the largest (tens), into a number of equal groups determined by the divisor.

Examples

Section 2

Recording Quotients and Remainders

Property

When a dividend is not perfectly divisible by a divisor, the whole number left over is the remainder (rr). The result is recorded in the format: Quotient R Remainder, or q Rrq \text{ R}r. The remainder must always be less than the divisor (0r<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.

  2. Lesson 2

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

  3. Lesson 3Current

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

  4. Lesson 4

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

  5. Lesson 5

    Lesson 5: Find whole number quotients and remainders.

  6. Lesson 6

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

  7. Lesson 7

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

  8. Lesson 8

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

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Model Division with Place Value Disks

Property

To divide a number using place value disks, distribute the disks for each place value, starting with the largest (tens), into a number of equal groups determined by the divisor.

Examples

Section 2

Recording Quotients and Remainders

Property

When a dividend is not perfectly divisible by a divisor, the whole number left over is the remainder (rr). The result is recorded in the format: Quotient R Remainder, or q Rrq \text{ R}r. The remainder must always be less than the divisor (0r<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.

  2. Lesson 2

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

  3. Lesson 3Current

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

  4. Lesson 4

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

  5. Lesson 5

    Lesson 5: Find whole number quotients and remainders.

  6. Lesson 6

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

  7. Lesson 7

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

  8. Lesson 8

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