What is x when 96 divided by x equals 4?

To find the answer, just divide the dividend by the quotient: 96 ÷ 4 = 24

To prove this, let's compute 96 divided by 24: $\frac{96}{24} = 4$

How does it work?

Asking what the value of x could be when 96 divided by x gives a result of 4, is equivalent to solving the following equation:

$\frac{96}{x} = 4$

Multiply both sides by x: $\frac{96 x}{x} = 4 x$
$\frac{96 x}{x}$ is equivalent to $\frac{x}{x} \times 96$ , which simplifies to $1 \times 96$ (or just $96$ ).
Thus, the equation becomes: $96 = 4 x$
To find x, divide both sides by 4: $\frac{96}{4} = \frac{4 x}{4}$
Which gives, after simplification: $24 = x$ (or $x = 24$ )

So, if the dividend is 96 and the quotient is 4, the divisor is 24.