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

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

In this Grade 4 Eureka Math lesson from Chapter 15, students learn how to solve division problems that contain a zero in the dividend or a zero in the quotient, such as 804 ÷ 4. Using the long division algorithm, students practice recording each place value unit — including zero tens — to arrive at accurate quotients like 201. The lesson builds on prior work with remainders and place value to help students avoid common errors when zeros appear mid-calculation.

Section 1

Dividing a Zero in the Dividend

Property

When dividing a place value in the dividend that is zero and there is no remainder from the previous step, the corresponding digit in the quotient is also zero. For any non-zero divisor dd, the division fact is 0÷d=00 \div d = 0.

Examples

Section 2

Dividing When a Partial Dividend is Smaller than the Divisor

Property

If a partial dividend is less than the divisor, place a 00 in the corresponding place value of the quotient. Then, bring down the next digit to form a new partial dividend.

Examples

Book overview

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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 5Current

    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

Dividing a Zero in the Dividend

Property

When dividing a place value in the dividend that is zero and there is no remainder from the previous step, the corresponding digit in the quotient is also zero. For any non-zero divisor dd, the division fact is 0÷d=00 \div d = 0.

Examples

Section 2

Dividing When a Partial Dividend is Smaller than the Divisor

Property

If a partial dividend is less than the divisor, place a 00 in the corresponding place value of the quotient. Then, bring down the next digit to form a new partial dividend.

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 5Current

    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.