Division Theorem

(Redirected from Division algorithm)

For any positive integers $a$ and $b$, there exist unique integers $q$ and $r$ such that $b = qa + r$ and $0 \le r < a$, with $r = 0$ if $a | b.$ We call $a$ the dividend, $b$ the divisor, $q$ the quotient, and $r$ the remainder.

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