Model Division
What is the term used to describe the result of a division calculation?
Quotient. (The remaining amount is called the remainder).
Using the fact family of 4, 7, and 28, solve the division problem 28 ÷ 7.
4 x 7=28 7 x 4=28 28 div 4=7 28 div 7=4
Define the term "quotient" in relation to division.
The quotient is the answer obtained by dividing one number (dividend) by another (divisor).
369 div 3 =
123
3369 div 3 =
1123
What are three ways you can model a division question?
You can use concrete materials (sorting counters into equal piles) or pictorial by drawing arrays/area models or abstract using fact families.
If 9 x 6 = 54, what are the division problems that correspond to this fact family?
54 div 6 = 9 or 54 div 9 = 6
Calculate the quotient when dividing 48 by 9.
48 div 9 = 5 r 3
487 div 4 =
121 r 3
4523 div 5 =
904 r 3
Explain how you can use known multiplication fact families to solve division problems involving remainders.
Find the closest smaller multiple using a multiplication fact, then count on to find the remainder. For example, for 23 div 5: think 5 times 4 = 20, then count on to 23 which = 3. The answer is 4 with a remainder of 3.
How can you use the fact family of 3, 5 and remainder 2 to write show the multiplication and division fact families?
3 x 5 + 2 = 17 17 div 5 = 3 r 2
Find the quotient of 67 div 6 =
67 div 6 = 11 r 1
834 div 8 =
104 r 2
5621 div 4 =
1405 r 1
Solve the following division problem and express the remainder in words: 25 ÷ 7
3 with a remainder of 4
Show the multiplication relationship to the division problem 29 ÷ 6 = 4 r 5
6 x 4 + 5 = 29
What is the quotient of 72 ÷ 8?
9 (72 div 8 = 9).
927 div 8 =
103 r 3
6273 div 5 =
1254 r 3
Show the connection between division and multiplication (find the dividend) when the divisor is 4, the quotient is 5 and the remainder is 3.
4 X 5 +3 = 23.
Use division to solve 23 x 3 + 4
73 div 3 = 23 r 4
If the dividend is 456 and the divisor is 3, what is the quotient?
456 div 3 = 152
617 div 4 =
154 r 1
8235 div 6 =
1372 r 3