What is x when 66 divided by x equals 21?

To find the answer, just divide the dividend by the quotient: 66 ÷ 21 = 3.1428571428571

To prove this, let's compute 66 divided by 3.1428571428571: $\frac{66}{3.1428571428571} = 21$

How does it work?

Asking what the value of x could be when 66 divided by x gives a result of 21, is equivalent to solving the following equation:

$\frac{66}{x} = 21$

Multiply both sides by x: $\frac{66 x}{x} = 21 x$
$\frac{66 x}{x}$ is equivalent to $\frac{x}{x} \times 66$ , which simplifies to $1 \times 66$ (or just $66$ ).
Thus, the equation becomes: $66 = 21 x$
To find x, divide both sides by 21: $\frac{66}{21} = \frac{21 x}{21}$
Which gives, after simplification: $3.1428571428571 = x$ (or $x = 3.1428571428571$ )

So, if the dividend is 66 and the quotient is 21, the divisor is 3.1428571428571.