What is x when 66 divided by x equals 19?

To find the answer, just divide the dividend by the quotient: 66 ÷ 19 = 3.4736842105263

To prove this, let's compute 66 divided by 3.4736842105263: $\frac{66}{3.4736842105263} = 19$

How does it work?

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

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

Multiply both sides by x: $\frac{66 x}{x} = 19 x$
$\frac{66 x}{x}$ is equivalent to $\frac{x}{x} \times 66$ , which simplifies to $1 \times 66$ (or just $66$ ).
Thus, the equation becomes: $66 = 19 x$
To find x, divide both sides by 19: $\frac{66}{19} = \frac{19 x}{19}$
Which gives, after simplification: $3.4736842105263 = x$ (or $x = 3.4736842105263$ )

So, if the dividend is 66 and the quotient is 19, the divisor is 3.4736842105263.