What is x when 9 divided by x equals 75?

To find the answer, just divide the dividend by the quotient: 9 ÷ 75 = 0.12

To prove this, let's compute 9 divided by 0.12: $\frac{9}{0.12} = 75$

How does it work?

Asking what the value of x could be when 9 divided by x gives a result of 75, is equivalent to solving the following equation:

$\frac{9}{x} = 75$

Multiply both sides by x: $\frac{9 x}{x} = 75 x$
$\frac{9 x}{x}$ is equivalent to $\frac{x}{x} \times 9$ , which simplifies to $1 \times 9$ (or just $9$ ).
Thus, the equation becomes: $9 = 75 x$
To find x, divide both sides by 75: $\frac{9}{75} = \frac{75 x}{75}$
Which gives, after simplification: $0.12 = x$ (or $x = 0.12$ )

So, if the dividend is 9 and the quotient is 75, the divisor is 0.12.