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Quotient Remainder Theorem

Tags
math

Is a core concept in modular arithmetic, which states:

Given any integer \\( A \\), and a positive integer \\( B \\) there exists unique integers \\( Q \\) and \\( R \\) such that: \\[ A = B \* Q + R \\; \text{where \\( 0 \leq R < B \\)} \\]