What is x when 66 divided by x equals 24?

To find the answer, just divide the dividend by the quotient: 66 ÷ 24 = 2.75

To prove this, let's compute 66 divided by 2.75: $\frac{66}{2.75} = 24$

How does it work?

Asking what the value of x could be when 66 divided by x gives a result of 24, is equivalent to solving the following equation:

$\frac{66}{x} = 24$

Multiply both sides by x: $\frac{66 x}{x} = 24 x$
$\frac{66 x}{x}$ is equivalent to $\frac{x}{x} \times 66$ , which simplifies to $1 \times 66$ (or just $66$ ).
Thus, the equation becomes: $66 = 24 x$
To find x, divide both sides by 24: $\frac{66}{24} = \frac{24 x}{24}$
Which gives, after simplification: $2.75 = x$ (or $x = 2.75$ )

So, if the dividend is 66 and the quotient is 24, the divisor is 2.75.