Simple division provides us with quotient like 15/6 will give 2 in output.
MOD formula gives the remainder of divison. For example 15/6 will give 3 as output.
MOD is represented by % symbol in programming languages.
MOD formula is helpful in many situation like
1. when we are looking to find a series of numbers which are divisible by certain number. For example we have a list of roll numbers of students and needed to divide students in 4 groups. So we can divide each roll number with 4 and remainder of divison will decide the group of student. 13 MOD 4=1 is assigned group 1, similary 15 MOD 4=3 will be assigned group 3.
2. whenever we have to take decision about number on the basis of their last digit
In this scenario we can use Number MOD 10=last digit. Accordingly we can take the decision.
Lets us illustrate this using MS Excel.
Fig 1 show the Roll Number and corresponding groups using the MOD formula.
But there is one exception in MOD formula. It fails when number is greater than 10 digits long.
But there is simple mathematical solution to this
This formula can replace the MOD formula and work in every case.