What is x when 66 divided by x equals 9?

To find the answer, just divide the dividend by the quotient: 66 ÷ 9 = 7.3333333333333

To prove this, let's compute 66 divided by 7.3333333333333: $\frac{66}{7.3333333333333} = 9$

How does it work?

Asking what the value of x could be when 66 divided by x gives a result of 9, is equivalent to solving the following equation:

$\frac{66}{x} = 9$

Multiply both sides by x: $\frac{66 x}{x} = 9 x$
$\frac{66 x}{x}$ is equivalent to $\frac{x}{x} \times 66$ , which simplifies to $1 \times 66$ (or just $66$ ).
Thus, the equation becomes: $66 = 9 x$
To find x, divide both sides by 9: $\frac{66}{9} = \frac{9 x}{9}$
Which gives, after simplification: $7.3333333333333 = x$ (or $x = 7.3333333333333$ )

So, if the dividend is 66 and the quotient is 9, the divisor is 7.3333333333333.