What is x when 16 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 16 ÷ 8 = 2

To prove this, let's compute 16 divided by 2: $\frac{16}{2} = 8$

How does it work?

Asking what the value of x could be when 16 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{16}{x} = 8$

Multiply both sides by x: $\frac{16 x}{x} = 8 x$
$\frac{16 x}{x}$ is equivalent to $\frac{x}{x} \times 16$ , which simplifies to $1 \times 16$ (or just $16$ ).
Thus, the equation becomes: $16 = 8 x$
To find x, divide both sides by 8: $\frac{16}{8} = \frac{8 x}{8}$
Which gives, after simplification: $2 = x$ (or $x = 2$ )

So, if the dividend is 16 and the quotient is 8, the divisor is 2.