What is x when 8 divided by x equals 4?

To find the answer, just divide the dividend by the quotient: 8 ÷ 4 = 2

To prove this, let's compute 8 divided by 2: $\frac{8}{2} = 4$

How does it work?

Asking what the value of x could be when 8 divided by x gives a result of 4, is equivalent to solving the following equation:

$\frac{8}{x} = 4$

Multiply both sides by x: $\frac{8 x}{x} = 4 x$
$\frac{8 x}{x}$ is equivalent to $\frac{x}{x} \times 8$ , which simplifies to $1 \times 8$ (or just $8$ ).
Thus, the equation becomes: $8 = 4 x$
To find x, divide both sides by 4: $\frac{8}{4} = \frac{4 x}{4}$
Which gives, after simplification: $2 = x$ (or $x = 2$ )

So, if the dividend is 8 and the quotient is 4, the divisor is 2.