What is x when 19 divided by x equals 11?

To find the answer, just divide the dividend by the quotient: 19 ÷ 11 = 1.7272727272727

To prove this, let's compute 19 divided by 1.7272727272727: $\frac{19}{1.7272727272727} = 11$

How does it work?

Asking what the value of x could be when 19 divided by x gives a result of 11, is equivalent to solving the following equation:

$\frac{19}{x} = 11$

Multiply both sides by x: $\frac{19 x}{x} = 11 x$
$\frac{19 x}{x}$ is equivalent to $\frac{x}{x} \times 19$ , which simplifies to $1 \times 19$ (or just $19$ ).
Thus, the equation becomes: $19 = 11 x$
To find x, divide both sides by 11: $\frac{19}{11} = \frac{11 x}{11}$
Which gives, after simplification: $1.7272727272727 = x$ (or $x = 1.7272727272727$ )

So, if the dividend is 19 and the quotient is 11, the divisor is 1.7272727272727.