What is x when 82 divided by x equals 52?

To find the answer, just divide the dividend by the quotient: 82 ÷ 52 = 1.5769230769231

To prove this, let's compute 82 divided by 1.5769230769231: $\frac{82}{1.5769230769231} = 52$

How does it work?

Asking what the value of x could be when 82 divided by x gives a result of 52, is equivalent to solving the following equation:

$\frac{82}{x} = 52$

Multiply both sides by x: $\frac{82 x}{x} = 52 x$
$\frac{82 x}{x}$ is equivalent to $\frac{x}{x} \times 82$ , which simplifies to $1 \times 82$ (or just $82$ ).
Thus, the equation becomes: $82 = 52 x$
To find x, divide both sides by 52: $\frac{82}{52} = \frac{52 x}{52}$
Which gives, after simplification: $1.5769230769231 = x$ (or $x = 1.5769230769231$ )

So, if the dividend is 82 and the quotient is 52, the divisor is 1.5769230769231.