What is x when 78 divided by x equals 77?

To find the answer, just divide the dividend by the quotient: 78 ÷ 77 = 1.012987012987

To prove this, let's compute 78 divided by 1.012987012987: $\frac{78}{1.012987012987} = 77$

How does it work?

Asking what the value of x could be when 78 divided by x gives a result of 77, is equivalent to solving the following equation:

$\frac{78}{x} = 77$

Multiply both sides by x: $\frac{78 x}{x} = 77 x$
$\frac{78 x}{x}$ is equivalent to $\frac{x}{x} \times 78$ , which simplifies to $1 \times 78$ (or just $78$ ).
Thus, the equation becomes: $78 = 77 x$
To find x, divide both sides by 77: $\frac{78}{77} = \frac{77 x}{77}$
Which gives, after simplification: $1.012987012987 = x$ (or $x = 1.012987012987$ )

So, if the dividend is 78 and the quotient is 77, the divisor is 1.012987012987.