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

Lesson 2: 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 from Chapter 12, students learn to divide two- and three-digit dividends by two-digit divisors to produce single-digit quotients using the standard long division algorithm. Students practice estimating quotients by rounding divisors to the nearest multiple of ten, then verify their answers using multiplication and addition. The lesson builds fluency with problems such as 72 ÷ 21 and 156 ÷ 43, connecting mental estimation strategies to a written method.

Section 1

Using Compatible Numbers to Estimate Quotients

Property

To estimate a quotient, first round the divisor to the nearest ten.
Then, find a compatible number for the dividend that is close to the original dividend and can be easily divided by the rounded divisor.
This estimation can be represented as a÷b≈a′÷b′a \div b \approx a' \div b', where b′b' is the rounded divisor and a′a' is the compatible 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.

    LearnPractice
  2. Lesson 2Current

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

    LearnPractice
  3. Lesson 3

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

    LearnPractice
  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.

    LearnPractice
  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.

    LearnPractice

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Using Compatible Numbers to Estimate Quotients

Property

To estimate a quotient, first round the divisor to the nearest ten.
Then, find a compatible number for the dividend that is close to the original dividend and can be easily divided by the rounded divisor.
This estimation can be represented as a÷b≈a′÷b′a \div b \approx a' \div b', where b′b' is the rounded divisor and a′a' is the compatible 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.

    LearnPractice
  2. Lesson 2Current

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

    LearnPractice
  3. Lesson 3

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

    LearnPractice
  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.

    LearnPractice
  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.

    LearnPractice