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

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Chapter 12: Partial Quotients and Multi-Digit Whole Number Division

  1. Lesson 1

    Lesson 1: Divide two- and three-digit dividends by multiples of 10 with single-digit quotients, and make connections to a written method.

  2. Lesson 2

    Lesson 2: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients, and make connections to a written method.

  3. Lesson 3Current

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

  4. Lesson 4

    Lesson 4: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value.

  5. Lesson 5

    Lesson 5: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

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

Book overview

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

Continue this chapter

Chapter 12: Partial Quotients and Multi-Digit Whole Number Division

  1. Lesson 1

    Lesson 1: Divide two- and three-digit dividends by multiples of 10 with single-digit quotients, and make connections to a written method.

  2. Lesson 2

    Lesson 2: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients, and make connections to a written method.

  3. Lesson 3Current

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

  4. Lesson 4

    Lesson 4: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value.

  5. Lesson 5

    Lesson 5: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value.