Simplify (a^6-a^5)÷(a^5)

$(a^{6} - a^{5}) \div a^{5}$

Rewrite the division as a fraction.

$\frac{a^{6} - a^{5}}{a^{5}}$

Factor $a^{5}$ out of $a^{6} - a^{5}$ .

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Factor $a^{5}$ out of $a^{6}$ .

$\frac{a^{5} a - a^{5}}{a^{5}}$

Factor $a^{5}$ out of $- a^{5}$ .

$\frac{a^{5} a + a^{5} \cdot - 1}{a^{5}}$

Factor $a^{5}$ out of $a^{5} a + a^{5} \cdot - 1$ .

$\frac{a^{5} (a - 1)}{a^{5}}$

Cancel the common factor of $a^{5}$ .

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Cancel the common factor.

$\frac{a^{5} (a - 1)}{a^{5}}$

Divide $a - 1$ by $1$ .

$a - 1$

Simplify (a^6-a^5)÷(a^5)