What is x when 57 divided by x equals 6?

To find the answer, just divide the dividend by the quotient: 57 ÷ 6 = 9.5

To prove this, let's compute 57 divided by 9.5: $\frac{57}{9.5} = 6$

How does it work?

Asking what the value of x could be when 57 divided by x gives a result of 6, is equivalent to solving the following equation:

$\frac{57}{x} = 6$

Multiply both sides by x: $\frac{57 x}{x} = 6 x$
$\frac{57 x}{x}$ is equivalent to $\frac{x}{x} \times 57$ , which simplifies to $1 \times 57$ (or just $57$ ).
Thus, the equation becomes: $57 = 6 x$
To find x, divide both sides by 6: $\frac{57}{6} = \frac{6 x}{6}$
Which gives, after simplification: $9.5 = x$ (or $x = 9.5$ )

So, if the dividend is 57 and the quotient is 6, the divisor is 9.5.