Question 895162
<pre>{{{(x^5-1)/(x-1)}}}

Write {{{x^5-1}}} as {{{x^5+0x^4+0x^3+0x^2+0x^1-1}}}

We change the sign of -1 to +1

1 | 1  0  0  0  0 -1
  |<u>    1  1  1  1  1</u>
    1  1  1  1  1  0

Answer:  Start with x to 1 less power than the {{{x^5}}} in the denominator:

{{{1x^4+1x^3+1x^2+1x^1+1}}}

Eliminating the understood 1's

{{{x^4+x^3+x^2+x+1}}}

Edwin</pre>