In this Grade 4 Eureka Math lesson, students learn to explain remainders in division by using place value disks and place value charts to model problems such as 41 ÷ 3. They practice unbundling tens into ones when a remaining ten cannot be distributed equally, then continuing to divide the ones until a final remainder is reached. Students also write multiplication equations to check their division and connect the quotient, divisor, and remainder back to their place value models.
Section 1
Sharing Tens in Division
When dividing a two-digit number, begin by sharing the tens equally among the groups indicated by the divisor. The number of tens each group receives becomes the tens digit of the quotient. Let be the number of tens in the dividend and be the divisor. The number of tens in each group is the whole number result of .
Section 2
Unbundling a Ten for Ones
When a ten cannot be distributed, it is exchanged for ones based on the place value relationship:
Section 3
Distributing Ones to Find the Remainder
When distributing the total number of ones, continue to share them equally into groups until the remaining amount is less than the divisor. This final leftover amount is the remainder, , where .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter
Expand to review the lesson summary and core properties.
Section 1
Sharing Tens in Division
When dividing a two-digit number, begin by sharing the tens equally among the groups indicated by the divisor. The number of tens each group receives becomes the tens digit of the quotient. Let be the number of tens in the dividend and be the divisor. The number of tens in each group is the whole number result of .
Section 2
Unbundling a Ten for Ones
When a ten cannot be distributed, it is exchanged for ones based on the place value relationship:
Section 3
Distributing Ones to Find the Remainder
When distributing the total number of ones, continue to share them equally into groups until the remaining amount is less than the divisor. This final leftover amount is the remainder, , where .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter