What is x when 27 divided by x equals 4?

To find the answer, just divide the dividend by the quotient: 27 ÷ 4 = 6.75

To prove this, let's compute 27 divided by 6.75: $\frac{27}{6.75} = 4$

How does it work?

Asking what the value of x could be when 27 divided by x gives a result of 4, is equivalent to solving the following equation:

$\frac{27}{x} = 4$

Multiply both sides by x: $\frac{27 x}{x} = 4 x$
$\frac{27 x}{x}$ is equivalent to $\frac{x}{x} \times 27$ , which simplifies to $1 \times 27$ (or just $27$ ).
Thus, the equation becomes: $27 = 4 x$
To find x, divide both sides by 4: $\frac{27}{4} = \frac{4 x}{4}$
Which gives, after simplification: $6.75 = x$ (or $x = 6.75$ )

So, if the dividend is 27 and the quotient is 4, the divisor is 6.75.