Question 678912
{{{(x^7+x^6)/x}}}
{{{x^7/x + x^6/x = x^(7-1) + x^(6-1) = highlight_green(x^6+x^5)}}}
CHECK
{{{(x^6+x^5)(x) = x^7 + x^6}}}
...
Alternatively,
x goes into {{{x^7+x^6}}}: x^6
to get
{{{x^7}}}
subtracting
{{{x^7 - x^7 + x^6}}}
yielding
{{{x^6}}}
...
x goes into {{{x^6}}}: x^5
to get 
{{{x^6}}}
subtracting 
{{{x^6 - x^6}}}
yielding 0
...
{{{(x^7+x^6)/x = x^6+x^5}}}
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