What is x when 86 divided by x equals 11?

To find the answer, just divide the dividend by the quotient: 86 ÷ 11 = 7.8181818181818

To prove this, let's compute 86 divided by 7.8181818181818: $\frac{86}{7.8181818181818} = 11$

How does it work?

Asking what the value of x could be when 86 divided by x gives a result of 11, is equivalent to solving the following equation:

$\frac{86}{x} = 11$

Multiply both sides by x: $\frac{86 x}{x} = 11 x$
$\frac{86 x}{x}$ is equivalent to $\frac{x}{x} \times 86$ , which simplifies to $1 \times 86$ (or just $86$ ).
Thus, the equation becomes: $86 = 11 x$
To find x, divide both sides by 11: $\frac{86}{11} = \frac{11 x}{11}$
Which gives, after simplification: $7.8181818181818 = x$ (or $x = 7.8181818181818$ )

So, if the dividend is 86 and the quotient is 11, the divisor is 7.8181818181818.