What is x when 66 divided by x equals 16?

To find the answer, just divide the dividend by the quotient: 66 ÷ 16 = 4.125

To prove this, let's compute 66 divided by 4.125: $\frac{66}{4.125} = 16$

How does it work?

Asking what the value of x could be when 66 divided by x gives a result of 16, is equivalent to solving the following equation:

$\frac{66}{x} = 16$

Multiply both sides by x: $\frac{66 x}{x} = 16 x$
$\frac{66 x}{x}$ is equivalent to $\frac{x}{x} \times 66$ , which simplifies to $1 \times 66$ (or just $66$ ).
Thus, the equation becomes: $66 = 16 x$
To find x, divide both sides by 16: $\frac{66}{16} = \frac{16 x}{16}$
Which gives, after simplification: $4.125 = x$ (or $x = 4.125$ )

So, if the dividend is 66 and the quotient is 16, the divisor is 4.125.