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Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator. Zero divided by zero is zero. In 830, Mahāvīra unsuccessfully tried to correct the mistake Brahmagupta made in his book Ganita Sara Samgraha: "A number remains unchanged when divided by zero ...
For example, 20 apples divide into five groups of four apples, meaning that "twenty divided by five is equal to four". This is denoted as 20 / 5 = 4, or 20 / 5 = 4. [2] In the example, 20 is the dividend, 5 is the divisor, and 4 is the quotient.
The picture to the right illustrates 3 / 4 of a cake. Fractions can be used to represent ratios and division. [1] Thus the fraction 3 / 4 can be used to represent the ratio 3:4 (the ratio of the part to the whole), and the division 3 ÷ 4 (three divided by four).
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.
A variant of the story has been told with 11 camels, to be divided into 1 ⁄ 2, 1 ⁄ 4, and 1 ⁄ 6. [22] [23] Another variant of the puzzle appears in the book The Man Who Counted, a mathematical puzzle book originally published in Portuguese by Júlio César de Mello e Souza in 1938. This version starts with 35 camels, to be divided in the ...
1 ⁄ 3, a fraction of one third, or 0. 3 in decimal. pre-decimal British sterling currency of 1 shilling and 3 pence; 1st Battalion, 3rd Marines, United States infantry battalion; One/Three, a 20; Loona 1/3, a Loona spin-off
The symbol was assigned to code point 0xF7 in ISO 8859-1, as the "division sign". This encoding was transferred to Unicode as U+00F7. [8] In HTML, it can be encoded as ÷ or ÷ (at HTML level 3.2), or as ÷. Unicode provides various division symbols: [9]
As in all division problems, one number, called the dividend, is divided by another, ... 07 (0 remainder, bring down next figure) 4 (7 ÷ 4 = 1 r 3) ...