Division
Division is a mathematical operation written using the symbol ÷.
It can be understood in two ways:
- a ÷ b is the size of each group when a objects are divided into b equal groups.
- a ÷ b is the number of groups when a objects are divided into groups of b objects each.
In division:
- Dividend – the number being divided
- Divisor – the number dividing the dividend
- Quotient – the answer obtained
The order of numbers matters in division:
(a ÷ b ≠ b ÷ a)
Example 1.5
Solve: 24 466 ÷ 26
Method: Long division
941
__________________
26 ⟌ 24466
234
—-
106
104
—-
26
26
—-
0
- 26 goes into 244 9 times (9 × 26 = 234).
- Subtract 234 from 244 to get 10, then bring down 6 to make 106.
- 26 goes into 106 4 times (4 × 26 = 104).
- Subtract 104 from 106 to get 2, then bring down 6 to make 26.
- 26 goes into 26 1 time.
- No remainder remains.
Final Answer:
24 466 ÷ 26 = 941
Watch Explanation Video
Exercise – Long Division
a) 50 715 ÷ 63
Answer:
50715 ÷ 63
63 ⟌ 50715
504
—
315
315
—
0
Answer = 805
b) 437 976 ÷ 84
Answer:
437976 ÷ 84
84 ⟌ 437976
420
—
179
168
—
117
84
—
336
336
—
Answer = 5214
c) 30 850 ÷ 25
Answer:
30850 ÷ 25
25 ⟌ 30850
25
—
58
50
—
85
75
—
100
100
Answer = 1234
d) 152 847 ÷ 17
Answer:
152847 ÷ 17
17 ⟌ 152847
136
—
168
153
—
154
153
—
17
17
Answer = 8991
e) 55 616 ÷ 79
Answer:
55616 ÷ 79
79 ⟌ 55616
553
—
316
316
Answer = 704
f) 14 805 ÷ 15
Answer:
14805 ÷ 15
15 ⟌ 14805
135
—
130
120
—
105
105
Answer = 987