What is x when 40 divided by x equals 38?

To find the answer, just divide the dividend by the quotient: 40 ÷ 38 = 1.0526315789474

To prove this, let's compute 40 divided by 1.0526315789474: $\frac{40}{1.0526315789474} = 38$

How does it work?

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

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

Multiply both sides by x: $\frac{40 x}{x} = 38 x$
$\frac{40 x}{x}$ is equivalent to $\frac{x}{x} \times 40$ , which simplifies to $1 \times 40$ (or just $40$ ).
Thus, the equation becomes: $40 = 38 x$
To find x, divide both sides by 38: $\frac{40}{38} = \frac{38 x}{38}$
Which gives, after simplification: $1.0526315789474 = x$ (or $x = 1.0526315789474$ )

So, if the dividend is 40 and the quotient is 38, the divisor is 1.0526315789474.