What is x when 81 divided by x equals 11?

To find the answer, just divide the dividend by the quotient: 81 ÷ 11 = 7.3636363636364

To prove this, let's compute 81 divided by 7.3636363636364: $\frac{81}{7.3636363636364} = 11$

How does it work?

Asking what the value of x could be when 81 divided by x gives a result of 11, is equivalent to solving the following equation:

$\frac{81}{x} = 11$

Multiply both sides by x: $\frac{81 x}{x} = 11 x$
$\frac{81 x}{x}$ is equivalent to $\frac{x}{x} \times 81$ , which simplifies to $1 \times 81$ (or just $81$ ).
Thus, the equation becomes: $81 = 11 x$
To find x, divide both sides by 11: $\frac{81}{11} = \frac{11 x}{11}$
Which gives, after simplification: $7.3636363636364 = x$ (or $x = 7.3636363636364$ )

So, if the dividend is 81 and the quotient is 11, the divisor is 7.3636363636364.