What is x when 96 divided by x equals 32?

To find the answer, just divide the dividend by the quotient: 96 ÷ 32 = 3

To prove this, let's compute 96 divided by 3: $\frac{96}{3} = 32$

How does it work?

Asking what the value of x could be when 96 divided by x gives a result of 32, is equivalent to solving the following equation:

$\frac{96}{x} = 32$

Multiply both sides by x: $\frac{96 x}{x} = 32 x$
$\frac{96 x}{x}$ is equivalent to $\frac{x}{x} \times 96$ , which simplifies to $1 \times 96$ (or just $96$ ).
Thus, the equation becomes: $96 = 32 x$
To find x, divide both sides by 32: $\frac{96}{32} = \frac{32 x}{32}$
Which gives, after simplification: $3 = x$ (or $x = 3$ )

So, if the dividend is 96 and the quotient is 32, the divisor is 3.