Explore the fascinating world of modular arithmetic in this 27-minute video lecture from the Math Foundations series. Delve into the concepts pioneered by C.F. Gauss, learning how to find remainders when dividing numbers without performing long division. Discover the importance of modular arithmetic in modern number theory and its applications to understanding primes and divisibility of larger numbers. Gain insights into notations for division, congruence in modular arithmetic, and basic arithmetic operations with congruences. Perfect for mathematics enthusiasts looking to deepen their understanding of number theory and its practical applications.