What is x when 85 divided by x equals 13?

To find the answer, just divide the dividend by the quotient: 85 ÷ 13 = 6.5384615384615

To prove this, let's compute 85 divided by 6.5384615384615: $\frac{85}{6.5384615384615} = 13$

How does it work?

Asking what the value of x could be when 85 divided by x gives a result of 13, is equivalent to solving the following equation:

$\frac{85}{x} = 13$

Multiply both sides by x: $\frac{85 x}{x} = 13 x$
$\frac{85 x}{x}$ is equivalent to $\frac{x}{x} \times 85$ , which simplifies to $1 \times 85$ (or just $85$ ).
Thus, the equation becomes: $85 = 13 x$
To find x, divide both sides by 13: $\frac{85}{13} = \frac{13 x}{13}$
Which gives, after simplification: $6.5384615384615 = x$ (or $x = 6.5384615384615$ )

So, if the dividend is 85 and the quotient is 13, the divisor is 6.5384615384615.