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  2. Remainder - Wikipedia

    en.wikipedia.org/wiki/Remainder

    In this case, s is called the least absolute remainder. [3] As with the quotient and remainder, k and s are uniquely determined, except in the case where d = 2n and s = ± n. For this exception, we have: a = k⋅d + n = (k + 1)d − n. A unique remainder can be obtained in this case by some convention—such as always taking the positive value ...

  3. Euclidean division - Wikipedia

    en.wikipedia.org/wiki/Euclidean_division

    If 9 slices were divided among 3 people instead of 4, then each would receive 3 and no slice would be left over, which means that the remainder would be zero, leading to the conclusion that 3 evenly divides 9, or that 3 divides 9. Euclidean division can also be extended to negative dividend (or negative divisor) using the same formula; for ...

  4. Division (mathematics) - Wikipedia

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

    The division with remainder or Euclidean division of two natural numbers provides an integer quotient, which is the number of times the second number is completely contained in the first number, and a remainder, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of ...

  5. Division algorithm - Wikipedia

    en.wikipedia.org/wiki/Division_algorithm

    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.

  6. Long division - Wikipedia

    en.wikipedia.org/wiki/Long_division

    The remainder is multiplied by 3 to get feet and carried up to the feet column. Long division of the feet gives 1 remainder 29 which is then multiplied by twelve to get 348 inches. Long division continues with the final remainder of 15 inches being shown on the result line.

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    The Washington Post argued in a new editorial that the benefits of gender-transition treatments for minors like puberty blockers have not been scientifically proven. "Treatment results that look ...

  8. Euclidean algorithm - Wikipedia

    en.wikipedia.org/wiki/Euclidean_algorithm

    None of the preceding remainders r N−2, r N−3, etc. divide a and b, since they leave a remainder. Since r N−1 is a common divisor of a and b, r N−1 ≤ g. In the second step, any natural number c that divides both a and b (in other words, any common divisor of a and b) divides the remainders r k.

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