What is x when 22 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 22 ÷ 8 = 2.75

To prove this, let's compute 22 divided by 2.75: $\frac{22}{2.75} = 8$

How does it work?

Asking what the value of x could be when 22 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{22}{x} = 8$

Multiply both sides by x: $\frac{22 x}{x} = 8 x$
$\frac{22 x}{x}$ is equivalent to $\frac{x}{x} \times 22$ , which simplifies to $1 \times 22$ (or just $22$ ).
Thus, the equation becomes: $22 = 8 x$
To find x, divide both sides by 8: $\frac{22}{8} = \frac{8 x}{8}$
Which gives, after simplification: $2.75 = x$ (or $x = 2.75$ )

So, if the dividend is 22 and the quotient is 8, the divisor is 2.75.