The Maxam-Gilbert sequencing method involves chemically cleaving DNA strands at specific bases, labeling the fragments radioactively, and separating them via gel electrophoresis. The sequence can then be read from the banding pattern on X-ray film. This early chemical degradation method was developed in 1977 and provided one of the first reliable ways to determine DNA sequences, but it uses toxic chemicals and radioactivity, has technical complexity, and can only read up to 500 base pairs.