Euclidean Division Demystified: From Remainders to Cryptography

We explore Euclidean division beyond grade-school remainders, why the quotient and remainder are unique, and how the Euclidean algorithm finds the gcd. We'll walk through concrete steps (e.g., gcd(980, 78)) and connect these ideas to modular arithmetic and real-world tech like cryptography and signal processing, with a nod to polynomial division where the rules differ.

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