What is x when 65 divided by x equals 11?

To find the answer, just divide the dividend by the quotient: 65 ÷ 11 = 5.9090909090909

To prove this, let's compute 65 divided by 5.9090909090909: $\frac{65}{5.9090909090909} = 11$

How does it work?

Asking what the value of x could be when 65 divided by x gives a result of 11, is equivalent to solving the following equation:

$\frac{65}{x} = 11$

Multiply both sides by x: $\frac{65 x}{x} = 11 x$
$\frac{65 x}{x}$ is equivalent to $\frac{x}{x} \times 65$ , which simplifies to $1 \times 65$ (or just $65$ ).
Thus, the equation becomes: $65 = 11 x$
To find x, divide both sides by 11: $\frac{65}{11} = \frac{11 x}{11}$
Which gives, after simplification: $5.9090909090909 = x$ (or $x = 5.9090909090909$ )

So, if the dividend is 65 and the quotient is 11, the divisor is 5.9090909090909.