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

Lesson overview

Expand to review the lesson summary and core properties.

Expand

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