What is x when 96 divided by x equals 40?

To find the answer, just divide the dividend by the quotient: 96 ÷ 40 = 2.4

To prove this, let's compute 96 divided by 2.4: $\frac{96}{2.4} = 40$

How does it work?

Asking what the value of x could be when 96 divided by x gives a result of 40, is equivalent to solving the following equation:

$\frac{96}{x} = 40$

Multiply both sides by x: $\frac{96 x}{x} = 40 x$
$\frac{96 x}{x}$ is equivalent to $\frac{x}{x} \times 96$ , which simplifies to $1 \times 96$ (or just $96$ ).
Thus, the equation becomes: $96 = 40 x$
To find x, divide both sides by 40: $\frac{96}{40} = \frac{40 x}{40}$
Which gives, after simplification: $2.4 = x$ (or $x = 2.4$ )

So, if the dividend is 96 and the quotient is 40, the divisor is 2.4.