What is x when 57 divided by x equals 11?

To find the answer, just divide the dividend by the quotient: 57 ÷ 11 = 5.1818181818182

To prove this, let's compute 57 divided by 5.1818181818182: $\frac{57}{5.1818181818182} = 11$

How does it work?

Asking what the value of x could be when 57 divided by x gives a result of 11, is equivalent to solving the following equation:

$\frac{57}{x} = 11$

Multiply both sides by x: $\frac{57 x}{x} = 11 x$
$\frac{57 x}{x}$ is equivalent to $\frac{x}{x} \times 57$ , which simplifies to $1 \times 57$ (or just $57$ ).
Thus, the equation becomes: $57 = 11 x$
To find x, divide both sides by 11: $\frac{57}{11} = \frac{11 x}{11}$
Which gives, after simplification: $5.1818181818182 = x$ (or $x = 5.1818181818182$ )

So, if the dividend is 57 and the quotient is 11, the divisor is 5.1818181818182.