What is x when 11 divided by x equals 3?

To find the answer, just divide the dividend by the quotient: 11 ÷ 3 = 3.6666666666667

To prove this, let's compute 11 divided by 3.6666666666667: $\frac{11}{3.6666666666667} = 3$

How does it work?

Asking what the value of x could be when 11 divided by x gives a result of 3, is equivalent to solving the following equation:

$\frac{11}{x} = 3$

Multiply both sides by x: $\frac{11 x}{x} = 3 x$
$\frac{11 x}{x}$ is equivalent to $\frac{x}{x} \times 11$ , which simplifies to $1 \times 11$ (or just $11$ ).
Thus, the equation becomes: $11 = 3 x$
To find x, divide both sides by 3: $\frac{11}{3} = \frac{3 x}{3}$
Which gives, after simplification: $3.6666666666667 = x$ (or $x = 3.6666666666667$ )

So, if the dividend is 11 and the quotient is 3, the divisor is 3.6666666666667.