What is x when 66 divided by x equals 57?

To find the answer, just divide the dividend by the quotient: 66 ÷ 57 = 1.1578947368421

To prove this, let's compute 66 divided by 1.1578947368421: $\frac{66}{1.1578947368421} = 57$

How does it work?

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

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

Multiply both sides by x: $\frac{66 x}{x} = 57 x$
$\frac{66 x}{x}$ is equivalent to $\frac{x}{x} \times 66$ , which simplifies to $1 \times 66$ (or just $66$ ).
Thus, the equation becomes: $66 = 57 x$
To find x, divide both sides by 57: $\frac{66}{57} = \frac{57 x}{57}$
Which gives, after simplification: $1.1578947368421 = x$ (or $x = 1.1578947368421$ )

So, if the dividend is 66 and the quotient is 57, the divisor is 1.1578947368421.