What is x when 38 divided by x equals 84?

To find the answer, just divide the dividend by the quotient: 38 ÷ 84 = 0.45238095238095

To prove this, let's compute 38 divided by 0.45238095238095: $\frac{38}{0.45238095238095} = 84$

How does it work?

Asking what the value of x could be when 38 divided by x gives a result of 84, is equivalent to solving the following equation:

$\frac{38}{x} = 84$

Multiply both sides by x: $\frac{38 x}{x} = 84 x$
$\frac{38 x}{x}$ is equivalent to $\frac{x}{x} \times 38$ , which simplifies to $1 \times 38$ (or just $38$ ).
Thus, the equation becomes: $38 = 84 x$
To find x, divide both sides by 84: $\frac{38}{84} = \frac{84 x}{84}$
Which gives, after simplification: $0.45238095238095 = x$ (or $x = 0.45238095238095$ )

So, if the dividend is 38 and the quotient is 84, the divisor is 0.45238095238095.