The hardest part about the peyote stitch is getting it started. Once you've progressed through the 4th row, it becomes very intuitive. But first, row 1 - 3!
ROW 1 and 2
You will begin the peyote stitch by picking up enough beads for the first two rows. In this example, each row is 4 beads, so pick up eight (8) 11/0 round beads.
Every other bead will shift up to make the second row once you add the third row.
Pick up one 11/0 (#9 above). You will skip over the last bead in the previous row (#8 above) and stitch in to the next bead (#7 above). Pick up another 11 (#10 above), skip over the next bead of the previous row (#6) and stitch in to the next bead (#5). Continue this pattern until you have added two more beads, and stitched back down into the first bead from the previous row (#1).
Row 4 and beyond
Start the next row in the opposite direction. Pick up one 11/0 and stitch into the next bead sticking up from the previous row (#12). Continue picking up a bead, and then stitching into the next bead sticking up from the previous row until you reach the end of this row. Repeat until you have the desired length.