What is x when 27 divided by x equals 14?

To find the answer, just divide the dividend by the quotient: 27 ÷ 14 = 1.9285714285714

To prove this, let's compute 27 divided by 1.9285714285714: $\frac{27}{1.9285714285714} = 14$

How does it work?

Asking what the value of x could be when 27 divided by x gives a result of 14, is equivalent to solving the following equation:

$\frac{27}{x} = 14$

Multiply both sides by x: $\frac{27 x}{x} = 14 x$
$\frac{27 x}{x}$ is equivalent to $\frac{x}{x} \times 27$ , which simplifies to $1 \times 27$ (or just $27$ ).
Thus, the equation becomes: $27 = 14 x$
To find x, divide both sides by 14: $\frac{27}{14} = \frac{14 x}{14}$
Which gives, after simplification: $1.9285714285714 = x$ (or $x = 1.9285714285714$ )

So, if the dividend is 27 and the quotient is 14, the divisor is 1.9285714285714.