Question

In divison why should the remainder not be greater the the divisor

Answer 1

You shouldn't have a remainder greater than the divisor, because it means that another number can be multiplied.

Answer 2

If the remainder is greater than the divisor, then this means that another divisor could have been added.

For example, 7/3

If I said the result was 1 and the remainder was 4, 3 can fit into 4, meaning that the remainder (What remains when you have calculated the result) would be incorrect.

The correct answer would be 2 remainder 1.

The remainder is there to simplify division. If I did 7/3 normally, it would be 2.3333333333 recurring, giving us an "ugly" result. The remainder therefore gives us whole number results.