What is x when 85 divided by x equals 80?

To find the answer, just divide the dividend by the quotient: 85 ÷ 80 = 1.0625

To prove this, let's compute 85 divided by 1.0625: $\frac{85}{1.0625} = 80$

How does it work?

Asking what the value of x could be when 85 divided by x gives a result of 80, is equivalent to solving the following equation:

$\frac{85}{x} = 80$

Multiply both sides by x: $\frac{85 x}{x} = 80 x$
$\frac{85 x}{x}$ is equivalent to $\frac{x}{x} \times 85$ , which simplifies to $1 \times 85$ (or just $85$ ).
Thus, the equation becomes: $85 = 80 x$
To find x, divide both sides by 80: $\frac{85}{80} = \frac{80 x}{80}$
Which gives, after simplification: $1.0625 = x$ (or $x = 1.0625$ )

So, if the dividend is 85 and the quotient is 80, the divisor is 1.0625.