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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. 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 ...

4. Casting out nines - Wikipedia

   en.wikipedia.org/wiki/Casting_out_nines

   Otherwise, its digital root is the remainder it leaves after being divided by 9. A sanity test in which the above-mentioned procedures are used to check for errors in arithmetical calculations. The test is carried out by applying the same sequence of arithmetical operations to the digital roots of the operands as are applied to the operands ...

5. Euclidean division - Wikipedia

   en.wikipedia.org/wiki/Euclidean_division

   In arithmetic, Euclidean division – or division with remainder – is the process of dividing one integer (the dividend) by another (the divisor), in a way that produces an integer quotient and a natural number remainder strictly smaller than the absolute value of the divisor. A fundamental property is that the quotient and the remainder ...

6. Chinese remainder theorem - Wikipedia

   en.wikipedia.org/wiki/Chinese_remainder_theorem

   In mathematics, the Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer n by several integers, then one can determine uniquely the remainder of the division of n by the product of these integers, under the condition that the divisors are pairwise coprime (no two divisors share a common factor other than 1).

7. How Nutcrackers Became a Classic Symbol of Christmas

   www.aol.com/nutcrackers-became-classic-symbol...

   The wooden nutcracker is an enduring symbol of Christmas. But how did it get that way? We crack open the case of the history of this iconic Christmas soldier.