This has been answered dozens of times already. For more in depth answer, search for it. The basic is to dig in a snake pattern until you find ore. Then you can build mine supports to mine the area out. To snake, dig 3 tiles, turn, dig 3 more, turn opposite, dig 3, turn same, dig 3, turn opposite, and it'll look like this:
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ooox
ooox
oxxx
oxoo
oxxx
You can also zigzag. as long as you dig 3 at a time. Caution when attempting to make turns with this. This isn't guaranteed to be safe, but odds of cave-ins are minimal.
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