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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. Casting out nines - Wikipedia

   en.wikipedia.org/wiki/Casting_out_nines

   The result of this procedure is a number which is smaller than the original whenever the original has more than one digit, leaves the same remainder as the original after division by nine, and may be obtained from the original by subtracting a multiple of 9 from it. The name of the procedure derives from this latter property.

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. 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. Integer - Wikipedia

   en.wikipedia.org/wiki/Integer

   Although ordinary division is not defined on , the division "with remainder" is defined on them. It is called Euclidean division , and possesses the following important property: given two integers a and b with b ≠ 0 , there exist unique integers q and r such that a = q × b + r and 0 ≤ r < | b | , where | b | denotes the absolute value of b .

7. Credit Card 'Swipe' Fees Could Cost Shoppers Over $20 ... - AOL

   www.aol.com/credit-card-swipe-fees-could...

   Credit card companies don't work for free. Every time you use one, the store you're buying from is charged a "swipe fee" — and that charge will get passed down to you in higher prices.