The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder.
For example, 10 is not exactly divided by 3. Since the closest value, we can get 3 x 3 = 9.
Hence, 10 ÷ 3 → 3 R 1, where 3 is the quotient and 1 is the remainder.
Properties of Remainder:
The properties of the remainder are as follows:
- The remainder is always less than the divisor. A remainder that is either greater than or equal to the divisor indicates that the division is incorrect.
- If one number (divisor) divides the other number (dividend) completely, then the remainder is 0.
- The remainder can be either greater, lesser, or equal to the quotient.
To find Remainder:
Finding the remainder is an easy method. We need to just divide the number by another number with its multiples and get the remainder. Let us solve some examples to learn more.
- 43 = 8 x 5 + 3, 3 is the remainder
- 87 = 8 x 10 + 7, 7 is the remainder
- 114 = 7 x 16 + 2, 2 is the remainder
