What is x when 11 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 11 ÷ 8 = 1.375

To prove this, let's compute 11 divided by 1.375: $\frac{11}{1.375} = 8$

How does it work?

Asking what the value of x could be when 11 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{11}{x} = 8$

Multiply both sides by x: $\frac{11 x}{x} = 8 x$
$\frac{11 x}{x}$ is equivalent to $\frac{x}{x} \times 11$ , which simplifies to $1 \times 11$ (or just $11$ ).
Thus, the equation becomes: $11 = 8 x$
To find x, divide both sides by 8: $\frac{11}{8} = \frac{8 x}{8}$
Which gives, after simplification: $1.375 = x$ (or $x = 1.375$ )

So, if the dividend is 11 and the quotient is 8, the divisor is 1.375.