Remainder

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.

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

Solution:

    Step 1: [Divide.]

    Step 2: So, the answer with remainder is 8 r 4.

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