What is x when 77 divided by x equals 82?

To find the answer, just divide the dividend by the quotient: 77 ÷ 82 = 0.9390243902439

To prove this, let's compute 77 divided by 0.9390243902439: $\frac{77}{0.9390243902439} = 82$

How does it work?

Asking what the value of x could be when 77 divided by x gives a result of 82, is equivalent to solving the following equation:

$\frac{77}{x} = 82$

Multiply both sides by x: $\frac{77 x}{x} = 82 x$
$\frac{77 x}{x}$ is equivalent to $\frac{x}{x} \times 77$ , which simplifies to $1 \times 77$ (or just $77$ ).
Thus, the equation becomes: $77 = 82 x$
To find x, divide both sides by 82: $\frac{77}{82} = \frac{82 x}{82}$
Which gives, after simplification: $0.9390243902439 = x$ (or $x = 0.9390243902439$ )

So, if the dividend is 77 and the quotient is 82, the divisor is 0.9390243902439.