What is x when 53 divided by x equals 13?

To find the answer, just divide the dividend by the quotient: 53 ÷ 13 = 4.0769230769231

To prove this, let's compute 53 divided by 4.0769230769231: $\frac{53}{4.0769230769231} = 13$

How does it work?

Asking what the value of x could be when 53 divided by x gives a result of 13, is equivalent to solving the following equation:

$\frac{53}{x} = 13$

Multiply both sides by x: $\frac{53 x}{x} = 13 x$
$\frac{53 x}{x}$ is equivalent to $\frac{x}{x} \times 53$ , which simplifies to $1 \times 53$ (or just $53$ ).
Thus, the equation becomes: $53 = 13 x$
To find x, divide both sides by 13: $\frac{53}{13} = \frac{13 x}{13}$
Which gives, after simplification: $4.0769230769231 = x$ (or $x = 4.0769230769231$ )

So, if the dividend is 53 and the quotient is 13, the divisor is 4.0769230769231.