What is x when 91 divided by x equals 66?

To find the answer, just divide the dividend by the quotient: 91 ÷ 66 = 1.3787878787879

To prove this, let's compute 91 divided by 1.3787878787879: $\frac{91}{1.3787878787879} = 66$

How does it work?

Asking what the value of x could be when 91 divided by x gives a result of 66, is equivalent to solving the following equation:

$\frac{91}{x} = 66$

Multiply both sides by x: $\frac{91 x}{x} = 66 x$
$\frac{91 x}{x}$ is equivalent to $\frac{x}{x} \times 91$ , which simplifies to $1 \times 91$ (or just $91$ ).
Thus, the equation becomes: $91 = 66 x$
To find x, divide both sides by 66: $\frac{91}{66} = \frac{66 x}{66}$
Which gives, after simplification: $1.3787878787879 = x$ (or $x = 1.3787878787879$ )

So, if the dividend is 91 and the quotient is 66, the divisor is 1.3787878787879.