Visually inspect the surfaces, and run your fingers along the edges of the surface to check for roughness. In processes that do not require extreme precision, a visual and tactile method may be sufficient.
Use a roughness gauge for higher precision. A roughness gauge works by tracing the surface you want to measure. In addition to roughness, it usually also records multiple other parameters such as waviness and form. Nowadays, you can buy hand-held roughness gauge, which makes checking for surface finish a breeze.
Compare the readings from the roughness gauge with the industry averages to determine whether your machine meets the required standards. Different machine processes (such as drilling, sawing, or flame cutting) yield different levels of roughness.