What is x when 99 divided by x equals 66?

To find the answer, just divide the dividend by the quotient: 99 ÷ 66 = 1.5

To prove this, let's compute 99 divided by 1.5: $\frac{99}{1.5} = 66$

How does it work?

Asking what the value of x could be when 99 divided by x gives a result of 66, is equivalent to solving the following equation:

$\frac{99}{x} = 66$

Multiply both sides by x: $\frac{99 x}{x} = 66 x$
$\frac{99 x}{x}$ is equivalent to $\frac{x}{x} \times 99$ , which simplifies to $1 \times 99$ (or just $99$ ).
Thus, the equation becomes: $99 = 66 x$
To find x, divide both sides by 66: $\frac{99}{66} = \frac{66 x}{66}$
Which gives, after simplification: $1.5 = x$ (or $x = 1.5$ )

So, if the dividend is 99 and the quotient is 66, the divisor is 1.5.