What is x when 91 divided by x equals 11?

To find the answer, just divide the dividend by the quotient: 91 ÷ 11 = 8.2727272727273

To prove this, let's compute 91 divided by 8.2727272727273: $\frac{91}{8.2727272727273} = 11$

How does it work?

Asking what the value of x could be when 91 divided by x gives a result of 11, is equivalent to solving the following equation:

$\frac{91}{x} = 11$

Multiply both sides by x: $\frac{91 x}{x} = 11 x$
$\frac{91 x}{x}$ is equivalent to $\frac{x}{x} \times 91$ , which simplifies to $1 \times 91$ (or just $91$ ).
Thus, the equation becomes: $91 = 11 x$
To find x, divide both sides by 11: $\frac{91}{11} = \frac{11 x}{11}$
Which gives, after simplification: $8.2727272727273 = x$ (or $x = 8.2727272727273$ )

So, if the dividend is 91 and the quotient is 11, the divisor is 8.2727272727273.