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  2. Long division - Wikipedia

    en.wikipedia.org/wiki/Long_division

    Revisiting the 500 ÷ 4 example above, we find 1 2 5 ... In this example, 1260257 is to be divided by 37. First the problem is set up as follows: ... 12 / 135 \ 11,25 ...

  3. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    Remainder Test 13 (1, −3, −4, −1, 3, 4, cycle goes on.) If you are not comfortable with negative numbers, then use this sequence. (1, 10, 9, 12, 3, 4) Multiply the right most digit of the number with the left most number in the sequence shown above and the second right most digit to the second left most digit of the number in the sequence.

  4. Chinese remainder theorem - Wikipedia

    en.wikipedia.org/wiki/Chinese_remainder_theorem

    For each of them, compute the remainder by 4 (the second largest modulus) until getting a number congruent to 3 modulo 4. Then one can proceed by adding 20 = 5 × 4 at each step, and computing only the remainders by 3. This gives 4 mod 4 → 0. Continue 4 + 5 = 9 mod 41. Continue 9 + 5 = 14 mod 4 → 2. Continue 14 + 5 = 19 mod 43.

  5. IEEE 754 - Wikipedia

    en.wikipedia.org/wiki/IEEE_754

    For instance, if b = 10, and p = 7, then −12.345 can be represented by −12345×10 −3, −123450×10 −4, and −1234500×10 −5. However, for most operations, such as arithmetic operations, the result (value) does not depend on the representation of the inputs.

  6. Modulo - Wikipedia

    en.wikipedia.org/wiki/Modulo

    [1] For example, the expression "5 mod 2" evaluates to 1, because 5 divided by 2 has a quotient of 2 and a remainder of 1, while "9 mod 3" would evaluate to 0, because 9 divided by 3 has a quotient of 3 and a remainder of 0. Although typically performed with a and n both being integers, many computing systems now allow other types of numeric ...

  7. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    In terms of partition, 20 / 5 means the size of each of 5 parts into which a set of size 20 is divided. 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 ...

  8. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    To change ⁠ 1 / 3 ⁠ to a decimal, divide 1.000... by 3 (" 3 into 1.000... "), and stop when the desired accuracy is obtained, e.g., at 4 decimals with 0.3333. The fraction ⁠ 1 / 4 ⁠ can be written exactly with two decimal digits, while the fraction ⁠ 1 / 3 ⁠ cannot be written exactly as a decimal with a finite number of digits.

  9. Floating-point arithmetic - Wikipedia

    en.wikipedia.org/wiki/Floating-point_arithmetic

    i 6 × 2 i × t i, first form 6 × 2 i × t i, second form ----- 0 3.4641016151377543863 3.4641016151377543863 1 3.2153903091734710173 3.2153903091734723496 2 3.1 596599420974940120 3.1 596599420975006733 3 3.14 60862151314012979 3.14 60862151314352708 4 3.14 27145996453136334 3.14 27145996453689225 5 3.141 8730499801259536 3.141 ...