What is x when 9 divided by x equals 4?

To find the answer, just divide the dividend by the quotient: 9 ÷ 4 = 2.25

To prove this, let's compute 9 divided by 2.25: $\frac{9}{2.25} = 4$

How does it work?

Asking what the value of x could be when 9 divided by x gives a result of 4, is equivalent to solving the following equation:

$\frac{9}{x} = 4$

Multiply both sides by x: $\frac{9 x}{x} = 4 x$
$\frac{9 x}{x}$ is equivalent to $\frac{x}{x} \times 9$ , which simplifies to $1 \times 9$ (or just $9$ ).
Thus, the equation becomes: $9 = 4 x$
To find x, divide both sides by 4: $\frac{9}{4} = \frac{4 x}{4}$
Which gives, after simplification: $2.25 = x$ (or $x = 2.25$ )

So, if the dividend is 9 and the quotient is 4, the divisor is 2.25.