Chain Stitch is a pretty little stitch that can be used as a decorative stitch also. As the stitch name suggests, it consists of lots of little links. First thing is to come up from under your work, make a loop and place needle back down very close to where you came up, then catch the needle through the fabric and around your needle base in order to make the first loop
Next is to pull your thread slowly in order to make your first loop.
Then place needle down in the same spot as first loop finished, pull up and slowly make your next loop.
Keep going until you have made a complete row of chain stitch.
I have redone the pictures in this instruction and am still not quite happy with them. I will redo them again in the future. In the meantime, it does give you a good example as to how this stitch is produced.