What is x when 77 divided by x equals 60?

To find the answer, just divide the dividend by the quotient: 77 ÷ 60 = 1.2833333333333

To prove this, let's compute 77 divided by 1.2833333333333: $\frac{77}{1.2833333333333} = 60$

How does it work?

Asking what the value of x could be when 77 divided by x gives a result of 60, is equivalent to solving the following equation:

$\frac{77}{x} = 60$

Multiply both sides by x: $\frac{77 x}{x} = 60 x$
$\frac{77 x}{x}$ is equivalent to $\frac{x}{x} \times 77$ , which simplifies to $1 \times 77$ (or just $77$ ).
Thus, the equation becomes: $77 = 60 x$
To find x, divide both sides by 60: $\frac{77}{60} = \frac{60 x}{60}$
Which gives, after simplification: $1.2833333333333 = x$ (or $x = 1.2833333333333$ )

So, if the dividend is 77 and the quotient is 60, the divisor is 1.2833333333333.