Learn on PengiEureka Math, Grade 4Chapter 15: Division of Thousands, Hundreds, Tens, and Ones

Lesson 2: Represent and solve division problems with up to a three-digit dividend numerically and with place value disks requiring decomposing a remainder in the hundreds place.

In this Grade 4 Eureka Math lesson, students learn to divide three-digit numbers by a one-digit divisor using both place value disks and the standard long division algorithm, with a focus on decomposing a remainder in the hundreds place into tens. Working through problems like 423 ÷ 3 and 783 ÷ 3, students practice regrouping hundreds into tens to continue dividing when a remainder cannot be distributed evenly. This lesson is part of Chapter 15 on Division of Thousands, Hundreds, Tens, and Ones and builds toward fluency with multi-digit division.

Section 1

Decomposing Three-Digit Numbers by Place Value

Property

A three-digit number can be decomposed into its place values: abc=(a×100)+(b×10)+(c×1)abc = (a \times 100) + (b \times 10) + (c \times 1).
This is represented on a place value chart by placing aa disks in the hundreds column, bb disks in the tens column, and cc disks in the ones column.

Examples

Section 2

Connecting Place Value Actions to the Division Algorithm

Property

The steps of the long division algorithm are a symbolic representation of the actions performed on a place value chart.

  • Distributing disks into groups →\rightarrow Divide
  • Finding the total disks distributed →\rightarrow Multiply
  • Finding the leftover disks →\rightarrow Subtract
  • Decomposing leftovers and combining with the next place value →\rightarrow Bring Down

Examples

Book overview

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Chapter 15: Division of Thousands, Hundreds, Tens, and Ones

  1. Lesson 1

    Lesson 1: Divide multiples of 10, 100, and 1,000 by single-digit numbers.

    LearnPractice
  2. Lesson 2Current

    Lesson 2: Represent and solve division problems with up to a three-digit dividend numerically and with place value disks requiring decomposing a remainder in the hundreds place.

    LearnPractice
  3. Lesson 3

    Lesson 3: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically.

    LearnPractice
  4. Lesson 4

    Lesson 4: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times.

    LearnPractice
  5. Lesson 5

    Lesson 5: Solve division problems with a zero in the dividend or with a zero in the quotient.

    LearnPractice
  6. Lesson 6

    Lesson 6: Interpret division word problems as either number of groups unknown or group size unknown.

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  7. Lesson 7

    Lesson 7: Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9.

    LearnPractice
  8. Lesson 8

    Lesson 8: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.

    LearnPractice

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Decomposing Three-Digit Numbers by Place Value

Property

A three-digit number can be decomposed into its place values: abc=(a×100)+(b×10)+(c×1)abc = (a \times 100) + (b \times 10) + (c \times 1).
This is represented on a place value chart by placing aa disks in the hundreds column, bb disks in the tens column, and cc disks in the ones column.

Examples

Section 2

Connecting Place Value Actions to the Division Algorithm

Property

The steps of the long division algorithm are a symbolic representation of the actions performed on a place value chart.

  • Distributing disks into groups →\rightarrow Divide
  • Finding the total disks distributed →\rightarrow Multiply
  • Finding the leftover disks →\rightarrow Subtract
  • Decomposing leftovers and combining with the next place value →\rightarrow Bring Down

Examples

Book overview

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

Continue this chapter

Chapter 15: Division of Thousands, Hundreds, Tens, and Ones

  1. Lesson 1

    Lesson 1: Divide multiples of 10, 100, and 1,000 by single-digit numbers.

    LearnPractice
  2. Lesson 2Current

    Lesson 2: Represent and solve division problems with up to a three-digit dividend numerically and with place value disks requiring decomposing a remainder in the hundreds place.

    LearnPractice
  3. Lesson 3

    Lesson 3: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically.

    LearnPractice
  4. Lesson 4

    Lesson 4: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times.

    LearnPractice
  5. Lesson 5

    Lesson 5: Solve division problems with a zero in the dividend or with a zero in the quotient.

    LearnPractice
  6. Lesson 6

    Lesson 6: Interpret division word problems as either number of groups unknown or group size unknown.

    LearnPractice
  7. Lesson 7

    Lesson 7: Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9.

    LearnPractice
  8. Lesson 8

    Lesson 8: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.

    LearnPractice