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2. 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.

3. Mental calculation - Wikipedia

   en.wikipedia.org/wiki/Mental_calculation

   Similarly add 7 + 5 = 12, then add the carried 1 to get 13. Place 3 to the result and carry the 1. result: 349; Add the carried 1 to the highest valued digit in the multiplier, 7 + 1 = 8, and copy to the result to finish. Final product of 759 × 11: 8349; Further examples: −54 × −11 = 5 5+4(9) 4 = 594

4. 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 ...

5. Divisor - Wikipedia

   en.wikipedia.org/wiki/Divisor

   Prime numbers have exactly 2 divisors, and highly composite numbers are in bold. 7 is a divisor of 42 because =, so we can say It can also be said that 42 is divisible by 7, 42 is a multiple of 7, 7 divides 42, or 7 is a factor of 42. The non-trivial divisors of 6 are 2, −2, 3, −3.

6. Divisibility rule - Wikipedia

   en.wikipedia.org/wiki/Divisibility_rule

   Take each digit of the number (371) in reverse order (173), multiplying them successively by the digits 1, 3, 2, 6, 4, 5, repeating with this sequence of multipliers as long as necessary (1, 3, 2, 6, 4, 5, 1, 3, 2, 6, 4, 5, ...), and adding the products (1×1 + 7×3 + 3×2 = 1 + 21 + 6 = 28). The original number is divisible by 7 if and only if ...

7. Remainder - Wikipedia

   en.wikipedia.org/wiki/Remainder

   43 = (−9) × (−5) + (−2) and −2 is the least absolute remainder. In the division of 42 by 5, we have: 42 = 8 × 5 + 2, and since 2 < 5/2, 2 is both the least positive remainder and the least absolute remainder. In these examples, the (negative) least absolute remainder is obtained from the least positive remainder by subtracting 5 ...

8. Long division - Wikipedia

   en.wikipedia.org/wiki/Long_division

   12 / 135 \ 11,25 12 15 12 30 24 60 60 0 In Finland , the Italian method detailed above was replaced by the Anglo-American one in the 1970s. In the early 2000s, however, some textbooks have adopted the German method as it retains the order between the divisor and the dividend.

9. Abundant number - Wikipedia

   en.wikipedia.org/wiki/Abundant_number

   The sequence (a k) of least numbers n such that σ(n) > kn, in which a 2 = 12 corresponds to the first abundant number, grows very quickly (sequence A134716 in the OEIS). The smallest odd integer with abundancy index exceeding 3 is 1018976683725 = 3 3 × 5 2 × 7 2 × 11 × 13 × 17 × 19 × 23 × 29.