What is x when 82 divided by x equals 12?

To find the answer, just divide the dividend by the quotient: 82 ÷ 12 = 6.8333333333333

To prove this, let's compute 82 divided by 6.8333333333333: $\frac{82}{6.8333333333333} = 12$

How does it work?

Asking what the value of x could be when 82 divided by x gives a result of 12, is equivalent to solving the following equation:

$\frac{82}{x} = 12$

Multiply both sides by x: $\frac{82 x}{x} = 12 x$
$\frac{82 x}{x}$ is equivalent to $\frac{x}{x} \times 82$ , which simplifies to $1 \times 82$ (or just $82$ ).
Thus, the equation becomes: $82 = 12 x$
To find x, divide both sides by 12: $\frac{82}{12} = \frac{12 x}{12}$
Which gives, after simplification: $6.8333333333333 = x$ (or $x = 6.8333333333333$ )

So, if the dividend is 82 and the quotient is 12, the divisor is 6.8333333333333.