What is x when 96 divided by x equals 12?

To find the answer, just divide the dividend by the quotient: 96 ÷ 12 = 8

To prove this, let's compute 96 divided by 8: $\frac{96}{8} = 12$

How does it work?

Asking what the value of x could be when 96 divided by x gives a result of 12, is equivalent to solving the following equation:

$\frac{96}{x} = 12$

Multiply both sides by x: $\frac{96 x}{x} = 12 x$
$\frac{96 x}{x}$ is equivalent to $\frac{x}{x} \times 96$ , which simplifies to $1 \times 96$ (or just $96$ ).
Thus, the equation becomes: $96 = 12 x$
To find x, divide both sides by 12: $\frac{96}{12} = \frac{12 x}{12}$
Which gives, after simplification: $8 = x$ (or $x = 8$ )

So, if the dividend is 96 and the quotient is 12, the divisor is 8.