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# Dividing Integers

Along with zero (0, 1, 2, 3, 4 ...) natural numbers are formed in integers.
The non-zero natural numbers include the negative numbers (-1, -2, -3, -4 ...), which is also considered to be the integer.
The subset of the real numbers, are printed without a fractional or decimal component and this is coming under the set {... -3, -2, -1, 0, 1, 2, 3…}.

Division is the opposite of multiplication. Dividing is way of subtracting. When 20 is divided by 4 the value is 5 that is we can subtract 4, five times from 20 the value will be zero.

For example consider the following: The numbers 55, 7, and -12 are integers and the numbers 3.5 and 3 $\frac{1}{2}$ are not integers. Mathematical operations are done with integers like multiplying integers, subtracting integers and dividing integers.

Let 'a' be the number divided by the number 'b', and let 'q' be the quotient and 'r' be the remainder then we have a = q×b +r

 Related Calculators Dividing Integers Calculator Adding Integer Calculating Integers Multiplying Integer

## How to Divide Integers

Let's learn how to divide integers. If the divisor is the zero then the quotient cannot be defined as integer value (i.e. quotient will be infinity). Only if the divisor is the multiple of the dividend we will get the quotient as full integer value.

For example 46 cannot be divided by 5 to give an integer.
In such cases there are four possible ways of approaches to get an integer value in dividing integers.

• Twenty six is not dividing by ten, division becomes a partial function.
• Answer can be in the decimal fraction or a mixed number form, so $\frac{46}{5}$ = 9.2.
• Integer answers can include quotient and a remainder, so $\frac{46}{5}$ = 9 as quotient and remainder 1.
• Answer can include only the quotient value in order to get integer form, so $\frac{26}{10}$ = 2. This is referred as integer division or dividing integers.
• If any number is divided by 0 it is not defined,
• If 0 is divided by any number the value is 0 itself
• If the number is divided by 1 then the answer is the number itself.

## Rules for Dividing Integers

There are many rules are followed for dividing integers. They are given below the following terms for dividing integers rules,

If the positive sign is given for the numbers, when we doing the division operation means then the result is also positive.

Rule : Positive Number ÷ Positive Number = Positive Number

If the negative sign is given for the numbers, when we doing the division operation means then the result is positive.

Rule : Negative Number ÷ Negative Number = Positive Number

If the numbers are having different sign, when we doing the division operation means then the result is also negative.

Rule : Negative Number ÷ Positive Number = Negative Number

Rule : Positive Number ÷ Negative Number = Negative Number

## Examples of Dividing Integers

Below are some solved examples on division of integers for your better understanding:

### Solved Examples

Question 1: Divide 50 by 5
Solution:
$\frac{50}{5}$ = 10 (where dividend 5 is an dividing integers and answer 10 is an integer value).

Question 2: Divide 64 by 3
Solution:
$\frac{64}{3}$ = 21.33 = 21 ( to get the value as integer consider the quotient value alone).

(Or)

$\frac{64}{3}$ = 21.33 ( quotient value = 21 and reminder value = 1, to get the result value as integers).

Question 3: Divide 70 by 10
Solution:
$\frac{70}{10}$ = 7 (70 is 7 times of 10)

Question 4: Divide 21 by 2
Solution:
$\frac{21}{2}$ = 10.5  = 10 ( to get the value as integer consider the quotient value alone)

(Or)

$\frac{64}{3}$ = 10.5 ( quotient value = 10 and reminder value =1, to get the result value as integers)

### Practice Problems

Question 1: Divide 40 by 2
Question 2: Divide 65 by 2
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