What is x when 38 divided by x equals 19?

To find the answer, just divide the dividend by the quotient: 38 ÷ 19 = 2

To prove this, let's compute 38 divided by 2: $\frac{38}{2} = 19$

How does it work?

Asking what the value of x could be when 38 divided by x gives a result of 19, is equivalent to solving the following equation:

$\frac{38}{x} = 19$

Multiply both sides by x: $\frac{38 x}{x} = 19 x$
$\frac{38 x}{x}$ is equivalent to $\frac{x}{x} \times 38$ , which simplifies to $1 \times 38$ (or just $38$ ).
Thus, the equation becomes: $38 = 19 x$
To find x, divide both sides by 19: $\frac{38}{19} = \frac{19 x}{19}$
Which gives, after simplification: $2 = x$ (or $x = 2$ )

So, if the dividend is 38 and the quotient is 19, the divisor is 2.