In this Grade 5 Eureka Math lesson from Chapter 6, students learn to divide decimals by single-digit whole numbers when a remainder occurs, using place value understanding and place value disks to connect to the standard written algorithm. Students work through problems such as 6.72 ÷ 3 and 5.16 ÷ 4, distributing units across ones, tenths, and hundredths places to find exact quotients. The lesson builds on prior work with whole-number division and decimal place value to help students see that dividing decimals follows the same process as dividing whole numbers.
Section 1
Model Decimal Division Using a Place Value Chart
When dividing on a place value chart, if a place value has a remainder after sharing, unbundle each remaining unit into 10 units of the next smaller place value. This is based on the principle that 1 larger unit is equivalent to 10 of the next smaller unit (e.g., , ).
Section 2
Understanding Subtraction in Decimal Long Division
In the standard division algorithm, the subtraction step calculates the amount remaining in a place value after equal sharing. This written step directly corresponds to counting the leftover disks in the physical model. The value subtracted is the product of the quotient digit and the divisor, representing the total value that was successfully distributed.
Section 3
Solving Word Problems with Decimal Division
To solve word problems involving equal sharing, set up a division equation where the total amount is the dividend and the number of groups is the divisor.
Expand to review the lesson summary and core properties.
Section 1
Model Decimal Division Using a Place Value Chart
When dividing on a place value chart, if a place value has a remainder after sharing, unbundle each remaining unit into 10 units of the next smaller place value. This is based on the principle that 1 larger unit is equivalent to 10 of the next smaller unit (e.g., , ).
Section 2
Understanding Subtraction in Decimal Long Division
In the standard division algorithm, the subtraction step calculates the amount remaining in a place value after equal sharing. This written step directly corresponds to counting the leftover disks in the physical model. The value subtracted is the product of the quotient digit and the divisor, representing the total value that was successfully distributed.
Section 3
Solving Word Problems with Decimal Division
To solve word problems involving equal sharing, set up a division equation where the total amount is the dividend and the number of groups is the divisor.