What is x when 53 divided by x equals 66?

To find the answer, just divide the dividend by the quotient: 53 ÷ 66 = 0.8030303030303

To prove this, let's compute 53 divided by 0.8030303030303: $\frac{53}{0.8030303030303} = 66$

How does it work?

Asking what the value of x could be when 53 divided by x gives a result of 66, is equivalent to solving the following equation:

$\frac{53}{x} = 66$

Multiply both sides by x: $\frac{53 x}{x} = 66 x$
$\frac{53 x}{x}$ is equivalent to $\frac{x}{x} \times 53$ , which simplifies to $1 \times 53$ (or just $53$ ).
Thus, the equation becomes: $53 = 66 x$
To find x, divide both sides by 66: $\frac{53}{66} = \frac{66 x}{66}$
Which gives, after simplification: $0.8030303030303 = x$ (or $x = 0.8030303030303$ )

So, if the dividend is 53 and the quotient is 66, the divisor is 0.8030303030303.