What is x when 77 divided by x equals 76?

To find the answer, just divide the dividend by the quotient: 77 ÷ 76 = 1.0131578947368

To prove this, let's compute 77 divided by 1.0131578947368: $\frac{77}{1.0131578947368} = 76$

How does it work?

Asking what the value of x could be when 77 divided by x gives a result of 76, is equivalent to solving the following equation:

$\frac{77}{x} = 76$

Multiply both sides by x: $\frac{77 x}{x} = 76 x$
$\frac{77 x}{x}$ is equivalent to $\frac{x}{x} \times 77$ , which simplifies to $1 \times 77$ (or just $77$ ).
Thus, the equation becomes: $77 = 76 x$
To find x, divide both sides by 76: $\frac{77}{76} = \frac{76 x}{76}$
Which gives, after simplification: $1.0131578947368 = x$ (or $x = 1.0131578947368$ )

So, if the dividend is 77 and the quotient is 76, the divisor is 1.0131578947368.