In long division, each step of the solution is written down, whereas in short division, the steps are performed mentally and are not written down. The long division method is also often used when the problem has a divisor with two or more digits. Short division is mostly used with division problems having one-digit divisors.
Know MoreAs far as the mental process of doing division, both methods are the same. The process involves division, multiplication and subtraction. There is a difference in what is actually written on paper when doing the subtraction and the succeeding steps. In long division, subtraction is written the traditional way, then the next digit of the dividend is brought down and written next to the difference or remainder after subtraction. In short division, the remainder is simply written on the top left side of the next digit of the dividend.
To illustrate long division:
To illustrate short division:
John Napier is said to have invented the mathematical function known as division. His calculations were further developed by Henry Briggs.
Full Answer >The commonly used division symbol "/" is called a "solidus" or "virgule," while an "obelus" appears like a hyphen with dots above and below it. Another division notation is the "vinculum," which is a horizontal line that is sometimes referred to as a "fractional bar."
Full Answer >The answer to a division problem is called a quotient. This word is derived from the latin term "quotiens," which translates to "how many times."
Full Answer >A comparison of two quantities by division is known as a ratio. A ratio is expressed as a number of one item compared to a corresponding number of another item.
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