Indeed quadruple is correct, if you are able to obtain the firctional force and the normal reaction force, all you need to do is rearrange to give;
[tex]\mu = \frac{R}{F}[/tex]
Note that R always acts perpendicular to the surface R = mg only holds when the surface is horizontal, otherwise you are required to resolve the force of gravity to perpendicular to the surface.
Alternatively, if you are working with energy, the work done by a frictional force is given by [itex]w = xR\mu[/itex], where x is the displacement, thus the coefficient of friction is given by;
[tex]\mu = \frac{w}{xR}[/tex]
There are many ways to obtain the coefficient of friction, depending on the circumstances in which it occurs. Perhaps, you could post a specific example of the type of question you are have difficulties with.