What is x when 96 divided by x equals 16?

To find the answer, just divide the dividend by the quotient: 96 ÷ 16 = 6

To prove this, let's compute 96 divided by 6: $\frac{96}{6} = 16$

How does it work?

Asking what the value of x could be when 96 divided by x gives a result of 16, is equivalent to solving the following equation:

$\frac{96}{x} = 16$

Multiply both sides by x: $\frac{96 x}{x} = 16 x$
$\frac{96 x}{x}$ is equivalent to $\frac{x}{x} \times 96$ , which simplifies to $1 \times 96$ (or just $96$ ).
Thus, the equation becomes: $96 = 16 x$
To find x, divide both sides by 16: $\frac{96}{16} = \frac{16 x}{16}$
Which gives, after simplification: $6 = x$ (or $x = 6$ )

So, if the dividend is 96 and the quotient is 16, the divisor is 6.