What is x when 52 divided by x equals 38?

To find the answer, just divide the dividend by the quotient: 52 ÷ 38 = 1.3684210526316

To prove this, let's compute 52 divided by 1.3684210526316: $\frac{52}{1.3684210526316} = 38$

How does it work?

Asking what the value of x could be when 52 divided by x gives a result of 38, is equivalent to solving the following equation:

$\frac{52}{x} = 38$

Multiply both sides by x: $\frac{52 x}{x} = 38 x$
$\frac{52 x}{x}$ is equivalent to $\frac{x}{x} \times 52$ , which simplifies to $1 \times 52$ (or just $52$ ).
Thus, the equation becomes: $52 = 38 x$
To find x, divide both sides by 38: $\frac{52}{38} = \frac{38 x}{38}$
Which gives, after simplification: $1.3684210526316 = x$ (or $x = 1.3684210526316$ )

So, if the dividend is 52 and the quotient is 38, the divisor is 1.3684210526316.