What is x when 91 divided by x equals 99?

To find the answer, just divide the dividend by the quotient: 91 ÷ 99 = 0.91919191919192

To prove this, let's compute 91 divided by 0.91919191919192: $\frac{91}{0.91919191919192} = 99$

How does it work?

Asking what the value of x could be when 91 divided by x gives a result of 99, is equivalent to solving the following equation:

$\frac{91}{x} = 99$

Multiply both sides by x: $\frac{91 x}{x} = 99 x$
$\frac{91 x}{x}$ is equivalent to $\frac{x}{x} \times 91$ , which simplifies to $1 \times 91$ (or just $91$ ).
Thus, the equation becomes: $91 = 99 x$
To find x, divide both sides by 99: $\frac{91}{99} = \frac{99 x}{99}$
Which gives, after simplification: $0.91919191919192 = x$ (or $x = 0.91919191919192$ )

So, if the dividend is 91 and the quotient is 99, the divisor is 0.91919191919192.