What is x when 19 divided by x equals 66?

To find the answer, just divide the dividend by the quotient: 19 ÷ 66 = 0.28787878787879

To prove this, let's compute 19 divided by 0.28787878787879: $\frac{19}{0.28787878787879} = 66$

How does it work?

Asking what the value of x could be when 19 divided by x gives a result of 66, is equivalent to solving the following equation:

$\frac{19}{x} = 66$

Multiply both sides by x: $\frac{19 x}{x} = 66 x$
$\frac{19 x}{x}$ is equivalent to $\frac{x}{x} \times 19$ , which simplifies to $1 \times 19$ (or just $19$ ).
Thus, the equation becomes: $19 = 66 x$
To find x, divide both sides by 66: $\frac{19}{66} = \frac{66 x}{66}$
Which gives, after simplification: $0.28787878787879 = x$ (or $x = 0.28787878787879$ )

So, if the dividend is 19 and the quotient is 66, the divisor is 0.28787878787879.