title: Is division in Eisenstein integers unique?
body: <p>Given x &amp; y in Z[ω], the set of  Eisenstein integers, how many q &amp; r are there in  Z[ω],  such that x = q * y + r, where N(r) &lt; N(y).</p>
  <p>For example,</p>
  <p>14 + 60ω = (10+3ω)(3 + 7ω) + (5+2ω) = (10 + 2ω)(3+7ω)+ (-2-2ω).</p>