What is x when 40 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 40 ÷ 8 = 5

To prove this, let's compute 40 divided by 5: $\frac{40}{5} = 8$

How does it work?

Asking what the value of x could be when 40 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{40}{x} = 8$

Multiply both sides by x: $\frac{40 x}{x} = 8 x$
$\frac{40 x}{x}$ is equivalent to $\frac{x}{x} \times 40$ , which simplifies to $1 \times 40$ (or just $40$ ).
Thus, the equation becomes: $40 = 8 x$
To find x, divide both sides by 8: $\frac{40}{8} = \frac{8 x}{8}$
Which gives, after simplification: $5 = x$ (or $x = 5$ )

So, if the dividend is 40 and the quotient is 8, the divisor is 5.