What is x when 12 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 12 ÷ 8 = 1.5

To prove this, let's compute 12 divided by 1.5: $\frac{12}{1.5} = 8$

How does it work?

Asking what the value of x could be when 12 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{12}{x} = 8$

Multiply both sides by x: $\frac{12 x}{x} = 8 x$
$\frac{12 x}{x}$ is equivalent to $\frac{x}{x} \times 12$ , which simplifies to $1 \times 12$ (or just $12$ ).
Thus, the equation becomes: $12 = 8 x$
To find x, divide both sides by 8: $\frac{12}{8} = \frac{8 x}{8}$
Which gives, after simplification: $1.5 = x$ (or $x = 1.5$ )

So, if the dividend is 12 and the quotient is 8, the divisor is 1.5.