What is x when 75 divided by x equals 22?

To find the answer, just divide the dividend by the quotient: 75 ÷ 22 = 3.4090909090909

To prove this, let's compute 75 divided by 3.4090909090909: $\frac{75}{3.4090909090909} = 22$

How does it work?

Asking what the value of x could be when 75 divided by x gives a result of 22, is equivalent to solving the following equation:

$\frac{75}{x} = 22$

Multiply both sides by x: $\frac{75 x}{x} = 22 x$
$\frac{75 x}{x}$ is equivalent to $\frac{x}{x} \times 75$ , which simplifies to $1 \times 75$ (or just $75$ ).
Thus, the equation becomes: $75 = 22 x$
To find x, divide both sides by 22: $\frac{75}{22} = \frac{22 x}{22}$
Which gives, after simplification: $3.4090909090909 = x$ (or $x = 3.4090909090909$ )

So, if the dividend is 75 and the quotient is 22, the divisor is 3.4090909090909.