What is x when 91 divided by x equals 7?

To find the answer, just divide the dividend by the quotient: 91 ÷ 7 = 13

To prove this, let's compute 91 divided by 13: $\frac{91}{13} = 7$

How does it work?

Asking what the value of x could be when 91 divided by x gives a result of 7, is equivalent to solving the following equation:

$\frac{91}{x} = 7$

Multiply both sides by x: $\frac{91 x}{x} = 7 x$
$\frac{91 x}{x}$ is equivalent to $\frac{x}{x} \times 91$ , which simplifies to $1 \times 91$ (or just $91$ ).
Thus, the equation becomes: $91 = 7 x$
To find x, divide both sides by 7: $\frac{91}{7} = \frac{7 x}{7}$
Which gives, after simplification: $13 = x$ (or $x = 13$ )

So, if the dividend is 91 and the quotient is 7, the divisor is 13.