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Apart from division by zero being undefined, the quotient is not an integer unless the dividend is an integer multiple of the divisor. For example, 26 cannot be divided by 11 to give an integer. Such a case uses one of five approaches: Say that 26 cannot be divided by 11; division becomes a partial function.
The result is the same as the result of 125 divided by 5 (125/5=25). Example. If the last digit is 0. 110 (The original number) 11 0 (Take the last digit of the number, and check if it is 0 or 5) 11 0 (If it is 0, take the remaining digits, discarding the last) 11 × 2 = 22 (Multiply the result by 2)
Such an interminable division-by-zero algorithm is physically exhibited by some mechanical calculators. [4] In partitive division, the dividend is imagined to be split into parts, and the quotient is the resulting size of each part. For example, imagine ten cookies are to be divided among two friends.
In arithmetic, long division is a standard division algorithm suitable for dividing multi-digit Hindu-Arabic numerals ... [11] Algorithm for arbitrary base
Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.
This allows for easy division by these numbers: to divide by , multiply by /, then shift. [6] For instance, consider division by the regular number 54 = 2 1 3 3. 54 is a divisor of 60 3, and 60 3 /54 = 4000, so dividing by 54 in sexagesimal can be accomplished by multiplying by 4000 and shifting three places. In sexagesimal 4000 = 1×3600 + 6× ...
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In arithmetic, short division is a division algorithm which breaks down a division problem into a series of easier steps. It is an abbreviated form of long division — whereby the products are omitted and the partial remainders are notated as superscripts .