I am going to put down some shoe molding. It is not quarter-round, rather it is rather flat-sided on one side. I have seen it installed both ways, with the long side to the floor, and long side to the baseboard.
I am curious if there is a standard way of installing it, or is it up to me? I don't want it to look funny to a trained eye. I have an obstruction, and it would work better for me to install it long-side to the baseboard so it will clear the obstruction.