Learn on PengiEureka Math, Grade 5Chapter 12: Partial Quotients and Multi-Digit Whole Number Division

Lesson 3: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients, and make connections to a written method.

In this Grade 5 Eureka Math lesson, students learn to divide two- and three-digit dividends by two-digit divisors to produce single-digit quotients using estimation, the standard division algorithm, and remainder checks. Students practice rounding dividends and divisors to compatible numbers to estimate quotients, then adjust their estimates when the initial guess proves too high or too low. The lesson connects mental estimation strategies to written methods, reinforcing true equation notation and verification through multiplication.

Section 1

Divide Using Estimation and the Standard Algorithm

Property

To divide by a two-digit divisor, first estimate the quotient using compatible numbers.
Use the standard algorithm to multiply, subtract, and find the remainder.
If the product of the estimated quotient and the divisor is greater than the dividend, the estimate is too high; reduce the quotient by 1 and repeat.
The final answer is verified using the formula: divisor×quotient+remainder=dividenddivisor \times quotient + remainder = dividend.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Divide Using Estimation and the Standard Algorithm

Property

To divide by a two-digit divisor, first estimate the quotient using compatible numbers.
Use the standard algorithm to multiply, subtract, and find the remainder.
If the product of the estimated quotient and the divisor is greater than the dividend, the estimate is too high; reduce the quotient by 1 and repeat.
The final answer is verified using the formula: divisor×quotient+remainder=dividenddivisor \times quotient + remainder = dividend.

Examples