D I V I S I O N ÷

Share • Group • Divide • Solve with Confidence!

Division means "sharing or grouping equally".

It helps us find how many are in each group or how many groups we can make.

WHAT IS DIVISION?

  • Division means splitting a number into equal parts.
  • We use the division sign (÷) to divide numbers.
  • It is one of the four basic operations in mathematics.
  • It is used in everyday life.
Let's divide and make math easy and fun! ➗

Parts of a Division Sentence

24
Dividend
(The number to
be divided)
÷
4
Divisor
(The number we
divide by)
=
6
Quotient
(The answer)

QUICK FACTS 💡

  • any number ÷ 1 = the number itself
  • any number ÷ the number itself = 1
  • 0 ÷ any number (except 0) = 0
  • Any number ÷ 0 = Not possible
  • Division is NOT commutative.
  • Practice division to become fast and accurate!
Practice makes us division champions! ✨

METHODS OF DIVISION

1

DIVISION WITHOUT REMAINDER

When the number divides equally.

Example: 24 ÷ 4 = 6
6
4)24
-24
00
Step-by-step:
• 4 goes into 24 ➔ 6 times (4 × 6 = 24)
• 24 - 24 = 0
• Remainder = 0
So, 24 ÷ 4 = 6
2

DIVISION WITH REMAINDER

When the number does not divide equally.

Example: 23 ÷ 5 = 4 R 3
4
5)23
-20
3
Step-by-step:
• 5 goes into 23 ➔ 4 times (5 × 4 = 20)
• 23 - 20 = 3
• Remainder = 3
So, 23 ÷ 5 = 4 R 3
3

DIVISION WITH ZERO IN QUOTIENT

When the digit of the dividend is smaller than the divisor.

Example: 205 ÷ 5 = 41
41
5)205
-20
005
-5
0
Step-by-step:
• 5 doesn't go into 2 ➔ 0 in hundreds place
• 20 ÷ 5 = 4 ➔ write 4
• Bring down 5 ➔ 5 ÷ 5 = 1 ➔ write 1
So, 205 ÷ 5 = 41

DIVISION EXAMPLES WITH PLACE VALUES

A. 2 DIGIT ÷ 1 DIGIT

Example 1: 18 ÷ 3 = 6
O
6
3)18
-18
00
Example 2: 84 ÷ 7 = 12
TO
12
7)84
-7
14
-14
00

B. 3 DIGIT ÷ 2 DIGIT

Example 1: 246 ÷ 12 = 20 R 6
HTO
20
12)246
-24
006
-00
6
Example 2: 378 ÷ 14 = 27
HTO
27
14)378
-28
098
-98
00

C. 3 DIGIT ÷ 3 DIGIT

Example 1: 924 ÷ 3 = 308
HTO
308
3)924
-9
02
-0
024
-24
00
Example 2: 864 ÷ 12 = 72
HTO
72
12)864
-84
024
-24
00

IMPORTANT KEYWORDS
in word problems

Keywords Operation
divide, divided by, quotient of DIVISION
shared equally, equal groups, each, every, per DIVISION
split, distribute, separate into equal parts DIVISION
how many in each group DIVISION
how many groups DIVISION
out of, for each DIVISION

WORD PROBLEMS – LET'S SOLVE!

1
There are 24 apples. If they are kept equally in 4 baskets, how many apples are in each basket?
Solution:
24 ÷ 4 = 6
Answer: 6 apples
2
A school has 315 students and 15 teachers. If students are divided equally, how many students per teacher?
Solution:
315 ÷ 15 = 21
Answer: 21 students
3
A ribbon is 96 cm long. If it is cut into pieces of 8 cm each, how many pieces can be made?
Solution:
96 ÷ 8 = 12
Answer: 12 pieces
4
There are 864 books. If arranged equally on 12 shelves, how many books on each shelf?
Solution:
864 ÷ 12 = 72
Answer: 72 books

✏️ PRACTICE TIME!

Solve the following exercises to build complete mastery!

A. 2 DIGIT ÷ 2 DIGIT

1) 48 ÷ 6 = ______
2) 72 ÷ 8 = ______
3) 96 ÷ 4 = ______
4) 84 ÷ 7 = ______
5) 63 ÷ 9 = ______

B. 3 DIGIT ÷ 2 DIGIT

1) 246 ÷ 12 = ______
2) 378 ÷ 18 = ______
3) 525 ÷ 15 = ______
4) 684 ÷ 19 = ______
5) 936 ÷ 24 = ______

C. 3 DIGIT ÷ 3 DIGIT

1) 630 ÷ 3 = ______
2) 792 ÷ 4 = ______
3) 864 ÷ 12 = ______
4) 915 ÷ 15 = ______
5) 999 ÷ 27 = ______

TIPS TO REMEMBER

  • Check if the divisor goes into the dividend.
  • Start from the highest place value.
  • Subtract and bring down.
  • Don't forget the remainder.
  • Practice makes you a division champion!

REAL LIFE EXAMPLES

🍪
30 cookies shared equally among 5 friends.
30 ÷ 5 = 6 cookies each.
✏️
126 pencils packed in boxes of 14 pencils each.
126 ÷ 14 = 9 boxes.
🛣️
A 420 m long road is divided into 10 equal parts.
420 ÷ 10 = 42 m in each part.

MATH CHALLENGE!

Find the quotient:
A) 456 ÷ 12 = ?
B) 738 ÷ 18 = ?
C) 924 ÷ 21 = ?
D) 846 ÷ 27 = ?
Be smart, be fast, be accurate! 🏆

MENTAL MATH TRICKS

÷ 10 ➔ Drop one zero from the end
(e.g., 340 ÷ 10 = 34)
÷ 100 ➔ Drop two zeros from the end
(e.g., 5700 ÷ 100 = 57)
÷ 5 ➔ Multiply by 2, then divide by 10
(e.g., 65 ÷ 5 ➔ 130 ÷ 10 = 13)
÷ 4 ➔ Halve the number twice
(e.g., 48 ÷ 4 ➔ 24 ➔ 12)