What is x when 85 divided by x equals 66?

To find the answer, just divide the dividend by the quotient: 85 ÷ 66 = 1.2878787878788

To prove this, let's compute 85 divided by 1.2878787878788: $\frac{85}{1.2878787878788} = 66$

How does it work?

Asking what the value of x could be when 85 divided by x gives a result of 66, is equivalent to solving the following equation:

$\frac{85}{x} = 66$

Multiply both sides by x: $\frac{85 x}{x} = 66 x$
$\frac{85 x}{x}$ is equivalent to $\frac{x}{x} \times 85$ , which simplifies to $1 \times 85$ (or just $85$ ).
Thus, the equation becomes: $85 = 66 x$
To find x, divide both sides by 66: $\frac{85}{66} = \frac{66 x}{66}$
Which gives, after simplification: $1.2878787878788 = x$ (or $x = 1.2878787878788$ )

So, if the dividend is 85 and the quotient is 66, the divisor is 1.2878787878788.