In this Grade 5 Eureka Math lesson, students learn to divide three- and four-digit dividends by two-digit divisors to find two- and three-digit quotients, using place value strategies to decompose successive remainders across hundreds, tens, and ones. The lesson builds understanding of the standard division algorithm by having students reason about regrouping units — for example, renaming remaining tens as ones — to work through problems like 590 ÷ 17 and 887 ÷ 27. Students also practice checking their quotients using multiplication, reinforcing the inverse relationship between division and multiplication.
Section 1
Decomposing Remainders in Long Division
When dividing, a remainder from a higher place value is decomposed (regrouped) and combined with the digits in the next lower place value.
A remainder of in one place value becomes in the place value to its right before the next division step.
Expand to review the lesson summary and core properties.
Section 1
Decomposing Remainders in Long Division
When dividing, a remainder from a higher place value is decomposed (regrouped) and combined with the digits in the next lower place value.
A remainder of in one place value becomes in the place value to its right before the next division step.