Finishing your work by binding off in knitting is a simple process. The key is to make sure to bind loose enough so that your work has enough stretch but not too loose that it looks sloppy.
Step 1: Knit 2 stitches. Keep those stitches on the right needle.
Step 2: Take the left needle and put it through the first stitch on the right needle.
Step 3: With the left needle, pull the first stitch on the right needle over the second stitch on that same needle.
Step 4: Take the left needle out of the first stitch and the first stitch is now bound off.
Knit the next stitch and repeat Steps 2-4 across the work.
When you get to the last stitch, take the needle out, but about 5 inches of extra yarn, and weave the end of the yarn through the open loop.
Pull tight and weave the end through the work.