copy the DNA in vitro (i.e. in a tube) with large amounts of dNTPs and small amounts of ddNTPs
ddNTPs terminate DNA synthesis at a given nucleotide (A,T,C,G) when enzyme adds it instead of dNTP
If we do equivalent reactions with ddCTP, ddGTP, and ddTTP, we get a series of bands in each lane that allows us to read the sequence
If we label ddNTPs in unique colors, length of DNA molecule tells us the position in the DNA strand; the color tells us what nucleotide was added
We can "walk" along the DNA, designing new primers as we go