The natural and social sciences are usually considered a posteriori disciplines. Mathematics and logic are usually considered a priori disciplines.
For example, "all things fall down" would be an empirical proposition about gravity that many of us believe we know; therefore we would regard it as an example of empirical knowledge. It is "empirical" because we have generally observed that things fall down, so there is no reason to believe this will change. This example also shows the difficulty of formulating knowledge claims. Outside of the Earth's gravitational field -in orbit, for example- things do not "fall down", as there is no "down".
The vast bulk of the empirical knowledge that ordinary people possess is gained via a mixture of direct experience and the testimony of others about what they have experienced--iterated in an interesting way that is studied in the field of social epistemology as well as other fields. More complicated and organized methods of gaining empirical knowledge are the methods of science--see scientific method --which results in perhaps the best examples of rigorously codified, scientific empirical knowledge, namely, physics.
See also a priori and a posteriori knowledge.