Learn on PengiEureka Math, Grade 4Chapter 13: Division of Tens and Ones with Successive Remainders

Lesson 5: Find whole number quotients and remainders.

In this Grade 4 Eureka Math lesson, students learn to find whole number quotients and remainders by dividing two-digit numbers by one-digit divisors using the standard long division algorithm. The lesson focuses on unbundling tens into ones when a remainder occurs in the tens place, and recording remainders correctly in both the tens and ones places. Students also practice checking their answers using the inverse relationship between multiplication and division.

Section 1

Standard Division Algorithm with Unbundling

Property

The standard algorithm for division follows the steps: Divide, Multiply, Subtract, and Bring Down. When a remainder exists after dividing the tens, it is "unbundled" (regrouped) with the ones digit to form a new number to be divided.

Examples

Section 2

Mental Division Using Multiplication Facts

Property

To mentally solve a division problem, find a quotient (qq) and a remainder (rr) that satisfy the equation:

(divisor×q)+r=dividend(\text{divisor} \times q) + r = \text{dividend}
where the remainder is less than the divisor (0≤r<divisor0 \leq r < \text{divisor}).

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Standard Division Algorithm with Unbundling

Property

The standard algorithm for division follows the steps: Divide, Multiply, Subtract, and Bring Down. When a remainder exists after dividing the tens, it is "unbundled" (regrouped) with the ones digit to form a new number to be divided.

Examples

Section 2

Mental Division Using Multiplication Facts

Property

To mentally solve a division problem, find a quotient (qq) and a remainder (rr) that satisfy the equation:

(divisor×q)+r=dividend(\text{divisor} \times q) + r = \text{dividend}
where the remainder is less than the divisor (0≤r<divisor0 \leq r < \text{divisor}).

Examples