dlením

Delení, often written as dlením in ASCII texts, is the mathematical operation of dividing one number, the dividend, by another, the divisor, to produce a quotient. The concept is central to arithmetic and appears in many languages under the term division. The result expresses how many times the divisor fits into the dividend.

Basic components of division are the dividend, the divisor, the quotient, and, when applicable, the remainder. If the dividend is not evenly divisible by the divisor, the division yields a non-integer result that may be represented as a decimal, a fraction, or a mixed number. Division by zero is undefined and cannot produce a meaningful result.

In integer arithmetic, the quotient and remainder are integers, and the division algorithm ensures that dividend = divisor × quotient + remainder. The Euclidean algorithm uses repeated divisions to compute the greatest common divisor of integers. Division also extends to more complex objects, such as polynomials, where polynomial long division or synthetic division yields a polynomial quotient and a remainder of lower degree.

In computing, division is implemented by operators such as / or ÷. Distinctions exist between floating-point division and integer division; some programming languages define truncating or floor division, with different rounding behaviors and error handling for division by zero.

Applications of division include converting quantities into fractions or ratios, computing rates, and solving proportional problems. It is a fundamental operation across mathematics, science, engineering, economics, and daily life.