What is x when 65 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 65 ÷ 8 = 8.125

To prove this, let's compute 65 divided by 8.125: $\frac{65}{8.125} = 8$

How does it work?

Asking what the value of x could be when 65 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{65}{x} = 8$

Multiply both sides by x: $\frac{65 x}{x} = 8 x$
$\frac{65 x}{x}$ is equivalent to $\frac{x}{x} \times 65$ , which simplifies to $1 \times 65$ (or just $65$ ).
Thus, the equation becomes: $65 = 8 x$
To find x, divide both sides by 8: $\frac{65}{8} = \frac{8 x}{8}$
Which gives, after simplification: $8.125 = x$ (or $x = 8.125$ )

So, if the dividend is 65 and the quotient is 8, the divisor is 8.125.