Learn on PengiEureka Math, Grade 4Chapter 15: Division of Thousands, Hundreds, Tens, and Ones

Lesson 7: Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9.

In this Grade 4 Eureka Math lesson from Chapter 15, students learn to interpret and solve one-step division word problems using whole number quotients and remainders with larger divisors of 6, 7, 8, and 9. Using tape diagrams, students practice dividing multi-digit numbers and determining what the quotient and any remainder mean in real-world contexts. The lesson builds on prior division fluency to help fourth graders confidently work with divisors beyond the basic facts.

Section 1

Interpreting Remainders in Division Word Problems

Property

To solve a division word problem with a remainder, we find the quotient (the number of equal groups) and the remainder (the amount left over). The relationship can be checked using the equation:

Dividend=(Divisor×Quotient)+RemainderDividend = (Divisor \times Quotient) + Remainder

Examples

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Chapter 15: Division of Thousands, Hundreds, Tens, and Ones

  1. Lesson 1

    Lesson 1: Divide multiples of 10, 100, and 1,000 by single-digit numbers.

  2. Lesson 2

    Lesson 2: Represent and solve division problems with up to a three-digit dividend numerically and with place value disks requiring decomposing a remainder in the hundreds place.

  3. Lesson 3

    Lesson 3: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically.

  4. Lesson 4

    Lesson 4: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times.

  5. Lesson 5

    Lesson 5: Solve division problems with a zero in the dividend or with a zero in the quotient.

  6. Lesson 6

    Lesson 6: Interpret division word problems as either number of groups unknown or group size unknown.

  7. Lesson 7Current

    Lesson 7: Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9.

  8. Lesson 8

    Lesson 8: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Interpreting Remainders in Division Word Problems

Property

To solve a division word problem with a remainder, we find the quotient (the number of equal groups) and the remainder (the amount left over). The relationship can be checked using the equation:

Dividend=(Divisor×Quotient)+RemainderDividend = (Divisor \times Quotient) + Remainder

Examples

Book overview

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

Continue this chapter

Chapter 15: Division of Thousands, Hundreds, Tens, and Ones

  1. Lesson 1

    Lesson 1: Divide multiples of 10, 100, and 1,000 by single-digit numbers.

  2. Lesson 2

    Lesson 2: Represent and solve division problems with up to a three-digit dividend numerically and with place value disks requiring decomposing a remainder in the hundreds place.

  3. Lesson 3

    Lesson 3: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically.

  4. Lesson 4

    Lesson 4: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times.

  5. Lesson 5

    Lesson 5: Solve division problems with a zero in the dividend or with a zero in the quotient.

  6. Lesson 6

    Lesson 6: Interpret division word problems as either number of groups unknown or group size unknown.

  7. Lesson 7Current

    Lesson 7: Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9.

  8. Lesson 8

    Lesson 8: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.