What is x when 67 divided by x equals 85?

To find the answer, just divide the dividend by the quotient: 67 ÷ 85 = 0.78823529411765

To prove this, let's compute 67 divided by 0.78823529411765: $\frac{67}{0.78823529411765} = 85$

How does it work?

Asking what the value of x could be when 67 divided by x gives a result of 85, is equivalent to solving the following equation:

$\frac{67}{x} = 85$

Multiply both sides by x: $\frac{67 x}{x} = 85 x$
$\frac{67 x}{x}$ is equivalent to $\frac{x}{x} \times 67$ , which simplifies to $1 \times 67$ (or just $67$ ).
Thus, the equation becomes: $67 = 85 x$
To find x, divide both sides by 85: $\frac{67}{85} = \frac{85 x}{85}$
Which gives, after simplification: $0.78823529411765 = x$ (or $x = 0.78823529411765$ )

So, if the dividend is 67 and the quotient is 85, the divisor is 0.78823529411765.