What is x when 86 divided by x equals 77?

To find the answer, just divide the dividend by the quotient: 86 ÷ 77 = 1.1168831168831

To prove this, let's compute 86 divided by 1.1168831168831: $\frac{86}{1.1168831168831} = 77$

How does it work?

Asking what the value of x could be when 86 divided by x gives a result of 77, is equivalent to solving the following equation:

$\frac{86}{x} = 77$

Multiply both sides by x: $\frac{86 x}{x} = 77 x$
$\frac{86 x}{x}$ is equivalent to $\frac{x}{x} \times 86$ , which simplifies to $1 \times 86$ (or just $86$ ).
Thus, the equation becomes: $86 = 77 x$
To find x, divide both sides by 77: $\frac{86}{77} = \frac{77 x}{77}$
Which gives, after simplification: $1.1168831168831 = x$ (or $x = 1.1168831168831$ )

So, if the dividend is 86 and the quotient is 77, the divisor is 1.1168831168831.