title: CRC Calculation with x^2+x divisor
body: <p>I'm studying in French, so I'll try to translate the terms as best as I can, so sorry if it may be unclear.</p>
  
  <p>I have to find the coded message (CRC) with this 10 bits message : 0011111111 and x^2 + x as the polynomial divisor.</p>
  
  <p>I don't have much knowledge in binary and CRC yet, but I still know how to calculate one, but this one is a bit more tricky for me since the polynomial divisor is not an usual one. </p>
  
  <p>There are a lot of examples with divisors such as x^5 + x^4 + 1, but I have yet to find an example with something that resemble this one (x^2 + x).</p>
  
  <p>Here's what I did, but I'm pretty sure that it isn't right at all</p>
  
  <pre><code>001111111100 |  110
    110
    00111
      110 
      00111
        110
        00110
          110
          0000
  </code></pre>
  
  <p>Do you guys have any idea what I'm doing wrong here?</p>
  
  <p>Thanks a lot!</p>