It's all quite complicated, but in short it's something you shouldn't care about. It's enough that things don't feel 'forces' to the extent we care about. For all intents and purposes it is a valid statement to say that the paperweight on my table feels no net forces.
It gets rather involved, but essentially it is nearly impossible to get a real particle (such as the electron) that would not interact with any other force field.
the entities that are physical and change in time are fields, i.e. some 'probability densities' that a particle is somewhere (don't take me too literally here) that are a function of (x,y,z,t)
In that formalism you can have exactly force-free motion for the body. If you speak of our universe, then there is too many bodies and it is highly unlikely they conspire to be in exactly the kind of configuration that would give exactly zero force somewhere.
Now in the Newtonian sense to have a particle with exactly zero force on it you essentially need all of the force components acting on the particle to cancel.
Force is simply something that causes acceleration - and there are many ad-hoc equations for different forces. i.e. the gravitational force, the coulomb force. (Weak and Strong force don't appear in the Newtonian description as they can be approximated to be zero).
In Newtonian physics a particle is something that has a position uniquely defined by three coordinates (x,y,z) at a time 0. Then it's easy to define the 'motion' as the pace at which these coordinates change with time.
It turns out that we have just such descriptive models - and we use different models for different approximations. For example for human length and time scales the best approximation might be the classical Newtonian physics.
Now physics should never be understood as the 'truth' or as the way 'the world works'. It is simply a descriptive model that given some input data about a physical system should lead to some output data about the same physical system at a later time / different position.