What is x when 16 divided by x equals 13?

To find the answer, just divide the dividend by the quotient: 16 ÷ 13 = 1.2307692307692

To prove this, let's compute 16 divided by 1.2307692307692: $\frac{16}{1.2307692307692} = 13$

How does it work?

Asking what the value of x could be when 16 divided by x gives a result of 13, is equivalent to solving the following equation:

$\frac{16}{x} = 13$

Multiply both sides by x: $\frac{16 x}{x} = 13 x$
$\frac{16 x}{x}$ is equivalent to $\frac{x}{x} \times 16$ , which simplifies to $1 \times 16$ (or just $16$ ).
Thus, the equation becomes: $16 = 13 x$
To find x, divide both sides by 13: $\frac{16}{13} = \frac{13 x}{13}$
Which gives, after simplification: $1.2307692307692 = x$ (or $x = 1.2307692307692$ )

So, if the dividend is 16 and the quotient is 13, the divisor is 1.2307692307692.