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Division is one of the four basic operations of arithmetic, which involves calculating the number of times one number is contained within another. Learn about different types, properties, and notations of division, as well as its applications in algebra and other fields.
A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic. Learn about the notation, examples, and properties of repeating decimals, and how they differ from terminating and irrational decimals.
A remainder is the amount "left over" after dividing one number by another, or after subtracting one number from another. Learn how to calculate remainders for integers, floating-point numbers, and polynomials, and see different conventions in programming languages.
Restoring division is a slow division method that operates on fixed-point fractional numbers and depends on the assumption that the divisor is not zero. It produces the quotient and remainder of Euclidean division using a recurrence equation and a partial remainder.
Modulo is a mathematical operation that returns the remainder of a division. In computing, different systems and languages have different ways of defining and implementing modulo, depending on the signs and types of the operands.
The remainder term arises because the integral is usually not exactly equal to the sum. The formula may be derived by applying repeated integration by parts to successive intervals [r, r + 1] for r = m, m + 1, …, n − 1. The boundary terms in these integrations lead to the main terms of the formula, and the leftover integrals form the ...
Euclidean division is the process of dividing one integer by another and getting a quotient and a remainder. The division theorem states that such a division is unique, and its proof uses the fact that a decreasing sequence of non-negative integers stops eventually.
A binary number is a number expressed in the base-2 numeral system, using only two symbols: 0 and 1. Learn about the origins and applications of binary numbers in various cultures and fields, from ancient Egypt and China to modern computers and cryptography.