What is x when 96 divided by x equals 77?

To find the answer, just divide the dividend by the quotient: 96 ÷ 77 = 1.2467532467532

To prove this, let's compute 96 divided by 1.2467532467532: $\frac{96}{1.2467532467532} = 77$

How does it work?

Asking what the value of x could be when 96 divided by x gives a result of 77, is equivalent to solving the following equation:

$\frac{96}{x} = 77$

Multiply both sides by x: $\frac{96 x}{x} = 77 x$
$\frac{96 x}{x}$ is equivalent to $\frac{x}{x} \times 96$ , which simplifies to $1 \times 96$ (or just $96$ ).
Thus, the equation becomes: $96 = 77 x$
To find x, divide both sides by 77: $\frac{96}{77} = \frac{77 x}{77}$
Which gives, after simplification: $1.2467532467532 = x$ (or $x = 1.2467532467532$ )

So, if the dividend is 96 and the quotient is 77, the divisor is 1.2467532467532.