What is x when 11 divided by x equals 16?

To find the answer, just divide the dividend by the quotient: 11 ÷ 16 = 0.6875

To prove this, let's compute 11 divided by 0.6875: $\frac{11}{0.6875} = 16$

How does it work?

Asking what the value of x could be when 11 divided by x gives a result of 16, is equivalent to solving the following equation:

$\frac{11}{x} = 16$

Multiply both sides by x: $\frac{11 x}{x} = 16 x$
$\frac{11 x}{x}$ is equivalent to $\frac{x}{x} \times 11$ , which simplifies to $1 \times 11$ (or just $11$ ).
Thus, the equation becomes: $11 = 16 x$
To find x, divide both sides by 16: $\frac{11}{16} = \frac{16 x}{16}$
Which gives, after simplification: $0.6875 = x$ (or $x = 0.6875$ )

So, if the dividend is 11 and the quotient is 16, the divisor is 0.6875.