What is x when 84 divided by x equals 9?

To find the answer, just divide the dividend by the quotient: 84 ÷ 9 = 9.3333333333333

To prove this, let's compute 84 divided by 9.3333333333333: $\frac{84}{9.3333333333333} = 9$

How does it work?

Asking what the value of x could be when 84 divided by x gives a result of 9, is equivalent to solving the following equation:

$\frac{84}{x} = 9$

Multiply both sides by x: $\frac{84 x}{x} = 9 x$
$\frac{84 x}{x}$ is equivalent to $\frac{x}{x} \times 84$ , which simplifies to $1 \times 84$ (or just $84$ ).
Thus, the equation becomes: $84 = 9 x$
To find x, divide both sides by 9: $\frac{84}{9} = \frac{9 x}{9}$
Which gives, after simplification: $9.3333333333333 = x$ (or $x = 9.3333333333333$ )

So, if the dividend is 84 and the quotient is 9, the divisor is 9.3333333333333.