What is x when 27 divided by x equals 2?

To find the answer, just divide the dividend by the quotient: 27 ÷ 2 = 13.5

To prove this, let's compute 27 divided by 13.5: $\frac{27}{13.5} = 2$

How does it work?

Asking what the value of x could be when 27 divided by x gives a result of 2, is equivalent to solving the following equation:

$\frac{27}{x} = 2$

Multiply both sides by x: $\frac{27 x}{x} = 2 x$
$\frac{27 x}{x}$ is equivalent to $\frac{x}{x} \times 27$ , which simplifies to $1 \times 27$ (or just $27$ ).
Thus, the equation becomes: $27 = 2 x$
To find x, divide both sides by 2: $\frac{27}{2} = \frac{2 x}{2}$
Which gives, after simplification: $13.5 = x$ (or $x = 13.5$ )

So, if the dividend is 27 and the quotient is 2, the divisor is 13.5.