Division of numbers
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In this section we will discuss Division of numbers.
We know that division of whole numbers is an inverse process of multiplication. This is same for Integer Division.
Dividend : The number to be divided is called dividend.
Divisor : The number which divides is called divisor.
Quotient : The answer of division is called the quotient.
Example : 36 ÷ 12 = 3; Here 36 is Dividend , 12 is a divisor and 3 is the quotient.
Rules for division of numbers(integers)
Number 
Rule 
Example 
1) 
(+)  = () ()

(+12)  = (2) (6) 
2) 
()  = () (+) 
(+24)  = (3) (8) 
3) 
()  = (+) () 
(32)  = (+ 2) (16) 
4) 
(+)  = (+) (+) 
(+100)  = (+ 4) (+ 25) 
Properties of Division
1) If a and b are integers then a ÷ b is not necessarily integer.
Example : 15 ÷ 6, 12 ÷ 7 are not integers.
2) If a is an integer different from 0, then a ÷ a = 1.
3) For every integer a, we have a ÷ 1 = a
4) If a is nonzero integer then 0 ÷ a = 0
5) If a is an integer, then a ÷ 0 is not defined.
Some solved examples :
1) Divide : 91 by 13
Solution :
91 by 13
 91 ÷ 13 = (  91) / 13 =  7
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2) Divide : 324 by – 27
Solution :
324 by – 27
324 ÷ 27 = 324 / (  27) =  12
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3) Divide : ( 30,000) by (100 )
Solution :
( 30,000) by (100 )
( 30,000) ÷ (  100) = (  30,000) / (  100) = + 300
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4) Find the value of [ 32 + 2 x 17 + ( 6) ] ÷ 15
Solution :
[ 32 + 2 x 17 + ( 6) ] ÷ 15
= [ 32 + 34 + ( 6)] ÷ 15
= [ 66 – 6 ] ÷ 15
= 60 ÷ 15
= 60 / 15
= 4
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Integers
• Absolute value of Integers
• Absolute Value Equation
• Addition of Integers
• Multiplication of Numbers
• Division of Numbers
Number System
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