What is x when 11 divided by x equals 22?

To find the answer, just divide the dividend by the quotient: 11 ÷ 22 = 0.5

To prove this, let's compute 11 divided by 0.5: $\frac{11}{0.5} = 22$

How does it work?

Asking what the value of x could be when 11 divided by x gives a result of 22, is equivalent to solving the following equation:

$\frac{11}{x} = 22$

Multiply both sides by x: $\frac{11 x}{x} = 22 x$
$\frac{11 x}{x}$ is equivalent to $\frac{x}{x} \times 11$ , which simplifies to $1 \times 11$ (or just $11$ ).
Thus, the equation becomes: $11 = 22 x$
To find x, divide both sides by 22: $\frac{11}{22} = \frac{22 x}{22}$
Which gives, after simplification: $0.5 = x$ (or $x = 0.5$ )

So, if the dividend is 11 and the quotient is 22, the divisor is 0.5.