Vocabulary
This is the number being divided.
Dividend
A theater has 28 people who want to sit in rows of 5. How many rows are needed to seat everyone?
28 ÷ 5 = 5 remainder 3
Add one to the quotient: 6 Rows
372 ÷ 5
74 remainder 2
Draw equal groups to show this statement:
8÷2
2 groups of 4
Why is division called the inverse of multiplication?
Division is the opposite of multiplication. For example, if 6 × 7 = 42, then 42 ÷ 7 = 6. We can use multiplication to check our answers in division problems and make sure they make sense.
This is the number you are dividing by.
Divisor
Emma baked 17 cupcakes and wants to share them equally among 4 friends. How many cupcakes will each friend get?
17 ÷ 4 = 4 remainder 1
Use the quotient only: Each friend gets 4 cupcakes
489 ÷ 7
69 remainder 6
Draw equal groups to show this statement:
16÷2
2 groups of 8
How can the remainder change the way we answer a division problem in real life?
The remainder can tell us what’s left over after dividing. In real life, we might need to give everyone the same amount and deal with leftovers, like extra cookies or seats. Depending on the situation, we might ignore it, keep it, or add one to the quotient to make sure everyone is included.
This is the result of a division problem
Quotient
Liam has 23 party favors to put into bags, 6 favors per bag. How many full bags can he make?
23 ÷ 6 = 3 remainder 5
Drop the remainder: 3 full bags
526 ÷ 8
65 remainder 6
Draw equal groups to show this statement:
21÷7
7 groups of 3
If you divide a number and the remainder is zero, what does that tell you about the number and the divisor?
It means the number divides evenly by the divisor. There are no leftovers, so the number is a multiple of the divisor.
This is what’s left over when a division problem doesn’t divide evenly.
Remainder
There are 19 balloons and 4 kids. Each child gets an equal number of balloons. How many balloons will be left over?
19 ÷ 4 = 4 remainder 3
Use the remainder: 3 balloons are left over
341 ÷ 4
85 remainder 1
Draw equal groups to show this statement:
30÷10
ten groups of 3
How can knowing the dividend help you predict the size of the quotient?
The dividend is the total number you are dividing. The quotient should always be smaller than the dividend.
Division is the inverse operation of this
Multiplication
There are 32 students in a class, and each table can seat 5 students. How many tables are needed so that all students have a seat?
32 ÷ 5 = 6 remainder 2
Add 1 to the quotient: 7 tables
678 ÷ 9
75 remainder 3
Draw equal groups to show this statement:
42÷6
6 groups of 7
What does it mean when there is a remainder?
It means that the dividend can not be equally divided into groups.