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Division Algorithm for negative integers.
Input:a negative integer a and a natural number b
Output:Two integers q and r such that a=(q ⋅ b) + r and 0 ≤ r < b
  1. let q := 0
  2. let r := a
  3. repeat
    1. let q := q + 1
    2. let r := r + b
  4. until r ≥ 0
  5. return q,r