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

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

In this Grade 4 Eureka Math lesson, students practice dividing four-digit dividends by divisors of 2, 3, 4, and 5 using the standard long division algorithm, decomposing remainders up to three times across thousands, hundreds, tens, and ones place values. Students work through problems like 4,325 ÷ 3, learning to record each step numerically and use multiplication to check their answers. The lesson builds on students' understanding of place value units to support fluency with multi-digit division.

Section 1

Standard Algorithm for Long Division with Four-Digit Dividends

Property

To perform long division, we systematically divide the dividend by the divisor, place value by place value, from left to right. The relationship between the parts of a division problem is given by:

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

Examples

Section 2

Interpreting Remainders in Word Problems

Property

When solving a division word problem, the final answer depends on how the question asks you to interpret the remainder. The context of the problem determines whether you use the quotient, add 1 to the quotient, or use the remainder itself as the answer.

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 4Current

    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 7

    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

Standard Algorithm for Long Division with Four-Digit Dividends

Property

To perform long division, we systematically divide the dividend by the divisor, place value by place value, from left to right. The relationship between the parts of a division problem is given by:

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

Examples

Section 2

Interpreting Remainders in Word Problems

Property

When solving a division word problem, the final answer depends on how the question asks you to interpret the remainder. The context of the problem determines whether you use the quotient, add 1 to the quotient, or use the remainder itself as the answer.

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 4Current

    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 7

    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.