What is x when 91 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 91 ÷ 8 = 11.375

To prove this, let's compute 91 divided by 11.375: $\frac{91}{11.375} = 8$

How does it work?

Asking what the value of x could be when 91 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{91}{x} = 8$

Multiply both sides by x: $\frac{91 x}{x} = 8 x$
$\frac{91 x}{x}$ is equivalent to $\frac{x}{x} \times 91$ , which simplifies to $1 \times 91$ (or just $91$ ).
Thus, the equation becomes: $91 = 8 x$
To find x, divide both sides by 8: $\frac{91}{8} = \frac{8 x}{8}$
Which gives, after simplification: $11.375 = x$ (or $x = 11.375$ )

So, if the dividend is 91 and the quotient is 8, the divisor is 11.375.