What is x when 65 divided by x equals 6?

To find the answer, just divide the dividend by the quotient: 65 ÷ 6 = 10.833333333333

To prove this, let's compute 65 divided by 10.833333333333: $\frac{65}{10.833333333333} = 6$

How does it work?

Asking what the value of x could be when 65 divided by x gives a result of 6, is equivalent to solving the following equation:

$\frac{65}{x} = 6$

Multiply both sides by x: $\frac{65 x}{x} = 6 x$
$\frac{65 x}{x}$ is equivalent to $\frac{x}{x} \times 65$ , which simplifies to $1 \times 65$ (or just $65$ ).
Thus, the equation becomes: $65 = 6 x$
To find x, divide both sides by 6: $\frac{65}{6} = \frac{6 x}{6}$
Which gives, after simplification: $10.833333333333 = x$ (or $x = 10.833333333333$ )

So, if the dividend is 65 and the quotient is 6, the divisor is 10.833333333333.