What is x when 57 divided by x equals 7?

To find the answer, just divide the dividend by the quotient: 57 ÷ 7 = 8.1428571428571

To prove this, let's compute 57 divided by 8.1428571428571: $\frac{57}{8.1428571428571} = 7$

How does it work?

Asking what the value of x could be when 57 divided by x gives a result of 7, is equivalent to solving the following equation:

$\frac{57}{x} = 7$

Multiply both sides by x: $\frac{57 x}{x} = 7 x$
$\frac{57 x}{x}$ is equivalent to $\frac{x}{x} \times 57$ , which simplifies to $1 \times 57$ (or just $57$ ).
Thus, the equation becomes: $57 = 7 x$
To find x, divide both sides by 7: $\frac{57}{7} = \frac{7 x}{7}$
Which gives, after simplification: $8.1428571428571 = x$ (or $x = 8.1428571428571$ )

So, if the dividend is 57 and the quotient is 7, the divisor is 8.1428571428571.