What is x when 38 divided by x equals 40?

To find the answer, just divide the dividend by the quotient: 38 ÷ 40 = 0.95

To prove this, let's compute 38 divided by 0.95: $\frac{38}{0.95} = 40$

How does it work?

Asking what the value of x could be when 38 divided by x gives a result of 40, is equivalent to solving the following equation:

$\frac{38}{x} = 40$

Multiply both sides by x: $\frac{38 x}{x} = 40 x$
$\frac{38 x}{x}$ is equivalent to $\frac{x}{x} \times 38$ , which simplifies to $1 \times 38$ (or just $38$ ).
Thus, the equation becomes: $38 = 40 x$
To find x, divide both sides by 40: $\frac{38}{40} = \frac{40 x}{40}$
Which gives, after simplification: $0.95 = x$ (or $x = 0.95$ )

So, if the dividend is 38 and the quotient is 40, the divisor is 0.95.