Not to mention divide:

  2x^2 + 5x - 3
  -------------
     x + 2

                  2x + 1
          ______________
   x + 2 | 2x^2 + 5x - 3
           2x^2 + 4x
           -------------
                   x - 3
                   x + 2
                   -----
                     - 5

The remainder is -5, which gives us a -5/(x + 2) term: Thus

                    5
   =    2x + 1  - -----
                  x + 2

How about something we know divides:

                     x + 1
             _______________
      x + 1 | x^2 + 2x + 1
              x^2 + x
              --------
                     x + 1
                     x + 1
                     -----
                         0