What is x when 8 divided by x equals 27?

To find the answer, just divide the dividend by the quotient: 8 ÷ 27 = 0.2962962962963

To prove this, let's compute 8 divided by 0.2962962962963: $\frac{8}{0.2962962962963} = 27$

How does it work?

Asking what the value of x could be when 8 divided by x gives a result of 27, is equivalent to solving the following equation:

$\frac{8}{x} = 27$

Multiply both sides by x: $\frac{8 x}{x} = 27 x$
$\frac{8 x}{x}$ is equivalent to $\frac{x}{x} \times 8$ , which simplifies to $1 \times 8$ (or just $8$ ).
Thus, the equation becomes: $8 = 27 x$
To find x, divide both sides by 27: $\frac{8}{27} = \frac{27 x}{27}$
Which gives, after simplification: $0.2962962962963 = x$ (or $x = 0.2962962962963$ )

So, if the dividend is 8 and the quotient is 27, the divisor is 0.2962962962963.