What is x when 57 divided by x equals 10?

To find the answer, just divide the dividend by the quotient: 57 ÷ 10 = 5.7

To prove this, let's compute 57 divided by 5.7: $\frac{57}{5.7} = 10$

How does it work?

Asking what the value of x could be when 57 divided by x gives a result of 10, is equivalent to solving the following equation:

$\frac{57}{x} = 10$

Multiply both sides by x: $\frac{57 x}{x} = 10 x$
$\frac{57 x}{x}$ is equivalent to $\frac{x}{x} \times 57$ , which simplifies to $1 \times 57$ (or just $57$ ).
Thus, the equation becomes: $57 = 10 x$
To find x, divide both sides by 10: $\frac{57}{10} = \frac{10 x}{10}$
Which gives, after simplification: $5.7 = x$ (or $x = 5.7$ )

So, if the dividend is 57 and the quotient is 10, the divisor is 5.7.