What is x when 22 divided by x equals 55?

To find the answer, just divide the dividend by the quotient: 22 ÷ 55 = 0.4

To prove this, let's compute 22 divided by 0.4: $\frac{22}{0.4} = 55$

How does it work?

Asking what the value of x could be when 22 divided by x gives a result of 55, is equivalent to solving the following equation:

$\frac{22}{x} = 55$

Multiply both sides by x: $\frac{22 x}{x} = 55 x$
$\frac{22 x}{x}$ is equivalent to $\frac{x}{x} \times 22$ , which simplifies to $1 \times 22$ (or just $22$ ).
Thus, the equation becomes: $22 = 55 x$
To find x, divide both sides by 55: $\frac{22}{55} = \frac{55 x}{55}$
Which gives, after simplification: $0.4 = x$ (or $x = 0.4$ )

So, if the dividend is 22 and the quotient is 55, the divisor is 0.4.