What is x when 91 divided by x equals 10?

To find the answer, just divide the dividend by the quotient: 91 ÷ 10 = 9.1

To prove this, let's compute 91 divided by 9.1: $\frac{91}{9.1} = 10$

How does it work?

Asking what the value of x could be when 91 divided by x gives a result of 10, is equivalent to solving the following equation:

$\frac{91}{x} = 10$

Multiply both sides by x: $\frac{91 x}{x} = 10 x$
$\frac{91 x}{x}$ is equivalent to $\frac{x}{x} \times 91$ , which simplifies to $1 \times 91$ (or just $91$ ).
Thus, the equation becomes: $91 = 10 x$
To find x, divide both sides by 10: $\frac{91}{10} = \frac{10 x}{10}$
Which gives, after simplification: $9.1 = x$ (or $x = 9.1$ )

So, if the dividend is 91 and the quotient is 10, the divisor is 9.1.