What is x when 57 divided by x equals 66?

To find the answer, just divide the dividend by the quotient: 57 ÷ 66 = 0.86363636363636

To prove this, let's compute 57 divided by 0.86363636363636: $\frac{57}{0.86363636363636} = 66$

How does it work?

Asking what the value of x could be when 57 divided by x gives a result of 66, is equivalent to solving the following equation:

$\frac{57}{x} = 66$

Multiply both sides by x: $\frac{57 x}{x} = 66 x$
$\frac{57 x}{x}$ is equivalent to $\frac{x}{x} \times 57$ , which simplifies to $1 \times 57$ (or just $57$ ).
Thus, the equation becomes: $57 = 66 x$
To find x, divide both sides by 66: $\frac{57}{66} = \frac{66 x}{66}$
Which gives, after simplification: $0.86363636363636 = x$ (or $x = 0.86363636363636$ )

So, if the dividend is 57 and the quotient is 66, the divisor is 0.86363636363636.