The document explains the concept of division, illustrating how it involves splitting into equal parts and introducing the symbols ÷ and /. It details related multiplication and division facts, introduces the terms dividend, divisor, quotient, and remainder, and includes practice problems for calculating the quotient and remainder in various division scenarios.

1. Division
÷ /

2. Division is splitting into equal
parts or groups.
• Division is splitting into equal parts or groups.
• Ex: There are 12 chocolates, and 3 friends want to
share them, how do they divide the chocolates?
12 Chocolates 12 Chocolates Divided by 3
Answer: 12 divided by 3 is 4. They get 4 each.

3. Symbols
• We use the ÷ symbol, or sometimes the / symbol to
mean divide:
• 12 ÷ 3 = 4
• 12 / 3 = 4
• Let's use both symbols here so we get used to them.
÷ /

4. Opposite of Multiplying
• Division is the opposite of multiplying. When we
know a multiplication fact we can find a division fact:
• Example: 3 × 5 = 15, so 15 / 5 = 3.
• Also 15 / 3 = 5.

5. Why? Well, think of the numbers in rows and
columns like in this illustration:

6. So there are four related
facts:
•3 × 5 = 15
•5 × 3 = 15
•15 / 3 = 5
•15 / 5 = 3

7. What is 28 ÷ 7 ?
Answer: 28 ÷ 7 = 4

8. Names
• There are special names for each
number in a division:
• dividend ÷ divisor = quotient
Example: in 12 ÷ 3 = 4:
12 is the dividend
3 is the divisor
4 is the quotient

9. But Sometimes It Does Not Work Perfectly!
• Sometimes we cannot divide things up exactly ...
there may be something left over.
• Example: There are 7 bones to share with 2 pups.
• But 7 cannot be divided exactly into 2 groups,
• so each pup gets 3 bones,
• but there will be 1 left over: We call that the Remainder.

10. Solve these:
• Divide and verify the result:
• (i) 27 ÷ 9
• (ii) 72 ÷ 9
• (iii) 45 ÷ 5
• (iv) 54 ÷ 6

11. Solve these:
Find the quotient:
• (i) 9 ÷ 9
• (ii) 9 ÷ 3
• (iii) 24 ÷ 6
• (iv) 56 ÷ 7

12. Solve these:
Find the quotient and remainder if any:
• (i) 53 ÷ 7
• (ii) 27 ÷ 6
• (iii) 78 ÷ 9
• (iv) 51 ÷ 3
• (v) 86 ÷ 4
• (vi) 93 ÷ 8
• (vii) 88 ÷ 5
• (viii) 95 ÷ 9

13. Find the quotient (Q) and the remainder (R) for each of
the given. First one is shown as an example for you:

14. Find the quotient (Q) and the
remainder (R) for each of the given.
• (ii) 65 ÷ 9
• (iii) 78 ÷ 7
• (iv) 54 ÷ 12
• (v) 49 ÷ 5
• (vi) 70 ÷ 8
• (vii) 68 ÷ 7
• (viii) 56 ÷ 6
• (ix) 80 ÷ 9

15. Any doubts?