What is x when 91 divided by x equals 27?

To find the answer, just divide the dividend by the quotient: 91 ÷ 27 = 3.3703703703704

To prove this, let's compute 91 divided by 3.3703703703704: $\frac{91}{3.3703703703704} = 27$

How does it work?

Asking what the value of x could be when 91 divided by x gives a result of 27, is equivalent to solving the following equation:

$\frac{91}{x} = 27$

Multiply both sides by x: $\frac{91 x}{x} = 27 x$
$\frac{91 x}{x}$ is equivalent to $\frac{x}{x} \times 91$ , which simplifies to $1 \times 91$ (or just $91$ ).
Thus, the equation becomes: $91 = 27 x$
To find x, divide both sides by 27: $\frac{91}{27} = \frac{27 x}{27}$
Which gives, after simplification: $3.3703703703704 = x$ (or $x = 3.3703703703704$ )

So, if the dividend is 91 and the quotient is 27, the divisor is 3.3703703703704.