Euclid's division lemma states that for two positive integers $a$ and $b,$ there exist unique integers $q$ and $r$ such that $a = bq + r,$ where $r$ must satisfy

  • A
    $1 < r < b$
  • B
    $0 \leq r < b$
  • C
    $0 < r \leq b$
  • D
    $0 < r < b$

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