Division with and without remainders

Division is a equitable distribution, division is splitting between equal parts or groups. 

Dividend – The number that have to divide.

Divisor – The number that the dividend is being divide by. 

Quotient – The result of the division.

Remainder – The number left over after the division.

Dividing with no Remainders or Exact Division

Suppose we want to distribute 6 ice-creams into 3 persons equally therefore each person should get equal number of ice- cream. So we will divide 6 ice-cream into 3 parts.

∴ 6 ice-cream / 3 persons = 2 ice-cream get each person. 

Dividing with Remainders or Inexact Division

Suppose we want to distribute 7 ice-cream into 3 persons in equal parts, therefore there must be got same number of ice-cream each person. So we will divide 7 ice-cream into 3 parts 

7 ice-cream / 3 persons = 2 ice-cream get each person +  remainder 1

Division can be considered as repeated subtraction and division is also inverse operation of multiplication.

For example- if we divide 8 by 2,

8 – 2 = 6
6 – 2  = 4 
4 – 2 = 2
2 – 2 = 0

The number of times we can subtract 2 from 8 is 4, so 8/2 = 4.