What is x when 38 divided by x equals 13?

To find the answer, just divide the dividend by the quotient: 38 ÷ 13 = 2.9230769230769

To prove this, let's compute 38 divided by 2.9230769230769: $\frac{38}{2.9230769230769} = 13$

How does it work?

Asking what the value of x could be when 38 divided by x gives a result of 13, is equivalent to solving the following equation:

$\frac{38}{x} = 13$

Multiply both sides by x: $\frac{38 x}{x} = 13 x$
$\frac{38 x}{x}$ is equivalent to $\frac{x}{x} \times 38$ , which simplifies to $1 \times 38$ (or just $38$ ).
Thus, the equation becomes: $38 = 13 x$
To find x, divide both sides by 13: $\frac{38}{13} = \frac{13 x}{13}$
Which gives, after simplification: $2.9230769230769 = x$ (or $x = 2.9230769230769$ )

So, if the dividend is 38 and the quotient is 13, the divisor is 2.9230769230769.