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Definition Of Remainder

Remainder is the amount left over after division when one divisor does not divide the dividend exactly.

More about Remainder

Dividend = (Divisor × Quotient) + Remainder

Example of Remainder

Example of Remainder

In the above example, 2 is the divisor, 9 is the dividend, 4 is the quotient, and the left over, i.e. 1, is the remainder.

Video Examples: The Remainder Theorem

Solved Example on Remainder

Ques: Divide and write the answer with a remainder 76 ÷ 9.


A. 7 r 4
B. 8 r 4
C. 4 r 8
D. 8 r 2
Correct Answer: B


Step 1: [Divide.]
Step 2: So, the answer with remainder is 8 r 4.