What is x when 82 divided by x equals 31?

To find the answer, just divide the dividend by the quotient: 82 ÷ 31 = 2.6451612903226

To prove this, let's compute 82 divided by 2.6451612903226: $\frac{82}{2.6451612903226} = 31$

How does it work?

Asking what the value of x could be when 82 divided by x gives a result of 31, is equivalent to solving the following equation:

$\frac{82}{x} = 31$

Multiply both sides by x: $\frac{82 x}{x} = 31 x$
$\frac{82 x}{x}$ is equivalent to $\frac{x}{x} \times 82$ , which simplifies to $1 \times 82$ (or just $82$ ).
Thus, the equation becomes: $82 = 31 x$
To find x, divide both sides by 31: $\frac{82}{31} = \frac{31 x}{31}$
Which gives, after simplification: $2.6451612903226 = x$ (or $x = 2.6451612903226$ )

So, if the dividend is 82 and the quotient is 31, the divisor is 2.6451612903226.