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A remainder can be used in various ways, such as determining divisibility (e.g., if a remainder is zero, a number is divisible by another), calculating fractional parts (e.g., in division to find what is left over after whole numbers are accounted for), and in modular arithmetic, which is useful in computer science and cryptography for operations within a fixed range. Additionally, remainders can help in solving problems involving partitioning items into groups.

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