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In abstract algebra, given a magma with binary operation ∗ (which could nominally be termed multiplication), left division of b by a (written a \ b) is typically defined as the solution x to the equation a ∗ x = b, if this exists and is unique. Similarly, right division of b by a (written b / a) is the solution y to the equation y ∗ a = b ...
In arithmetic, Euclidean division – or division with remainder – is the process of dividing one integer (the dividend) by another (the divisor), in a way that produces an integer quotient and a natural number remainder strictly smaller than the absolute value of the divisor. A fundamental property is that the quotient and the remainder ...
School Nickname City State/ province Enrollment Future conference Note Begins play New England College: Pilgrims Henniker: New Hampshire: 4,327 CNE: 2025 [2] [3]: Roanoke
For example, the divisor 3 may be subtracted up to 6 times from the dividend 20, before the remainder becomes negative: 20 − 3 − 3 − 3 − 3 − 3 − 3 ≥ 0, while 20 − 3 − 3 − 3 − 3 − 3 − 3 − 3 < 0. In this sense, a quotient is the integer part of the ratio of two numbers. [9]
The 3rd Division (3. Division) was a unit of the Prussian/German Army. [1] It was formed in Stettin (now Szczecin, Poland) in May 1816 as a Troop Brigade (Truppen-Brigade). [2] It became the 3rd Division on September 5, 1818. [3] From the corps' formation in 1820, the division was subordinated in peacetime to the II Army Corps (II. Armeekorps). [4]
The division sign (÷) is a mathematical symbol consisting of a short horizontal line with a dot above and another dot below, used in Anglophone countries to indicate the operation of division. This usage, though widespread in some countries, is not universal and the symbol has a different meaning in other countries.
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