What is x when 57 divided by x equals 40?

To find the answer, just divide the dividend by the quotient: 57 ÷ 40 = 1.425

To prove this, let's compute 57 divided by 1.425: $\frac{57}{1.425} = 40$

How does it work?

Asking what the value of x could be when 57 divided by x gives a result of 40, is equivalent to solving the following equation:

$\frac{57}{x} = 40$

Multiply both sides by x: $\frac{57 x}{x} = 40 x$
$\frac{57 x}{x}$ is equivalent to $\frac{x}{x} \times 57$ , which simplifies to $1 \times 57$ (or just $57$ ).
Thus, the equation becomes: $57 = 40 x$
To find x, divide both sides by 40: $\frac{57}{40} = \frac{40 x}{40}$
Which gives, after simplification: $1.425 = x$ (or $x = 1.425$ )

So, if the dividend is 57 and the quotient is 40, the divisor is 1.425.