What is x when 67 divided by x equals 65?

To find the answer, just divide the dividend by the quotient: 67 ÷ 65 = 1.0307692307692

To prove this, let's compute 67 divided by 1.0307692307692: $\frac{67}{1.0307692307692} = 65$

How does it work?

Asking what the value of x could be when 67 divided by x gives a result of 65, is equivalent to solving the following equation:

$\frac{67}{x} = 65$

Multiply both sides by x: $\frac{67 x}{x} = 65 x$
$\frac{67 x}{x}$ is equivalent to $\frac{x}{x} \times 67$ , which simplifies to $1 \times 67$ (or just $67$ ).
Thus, the equation becomes: $67 = 65 x$
To find x, divide both sides by 65: $\frac{67}{65} = \frac{65 x}{65}$
Which gives, after simplification: $1.0307692307692 = x$ (or $x = 1.0307692307692$ )

So, if the dividend is 67 and the quotient is 65, the divisor is 1.0307692307692.