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

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