state and prove division algorithm for integers.
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The division algorithm for integers states that given any two integers a and b, with b > 0, we can find integers q and r such that 0 < r < b and a = bq + r. The numbers q and r should be thought of as the quotient and remainder that result when b is divided into a. ... If a = 18 and b = 6, then q = 3 and r = 0.
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