What is x when 13 divided by x equals 2?

To find the answer, just divide the dividend by the quotient: 13 ÷ 2 = 6.5

To prove this, let's compute 13 divided by 6.5: $\frac{13}{6.5} = 2$

How does it work?

Asking what the value of x could be when 13 divided by x gives a result of 2, is equivalent to solving the following equation:

$\frac{13}{x} = 2$

Multiply both sides by x: $\frac{13 x}{x} = 2 x$
$\frac{13 x}{x}$ is equivalent to $\frac{x}{x} \times 13$ , which simplifies to $1 \times 13$ (or just $13$ ).
Thus, the equation becomes: $13 = 2 x$
To find x, divide both sides by 2: $\frac{13}{2} = \frac{2 x}{2}$
Which gives, after simplification: $6.5 = x$ (or $x = 6.5$ )

So, if the dividend is 13 and the quotient is 2, the divisor is 6.5.