The Knit Stitch
The working yarn is always to the back of the work. Needle inserts from front to back starting at left side of st, and yarn always wraps from back of needle to front.
This style of right handed knitting is often called American knitting. Note how the yarn is wrapped under the large finger of the right hand. Use this finger to create proper tension on the working yarn.
The right needle will be used to pull a loop through the first stitch on the left needle. To get ready to do this, slip right needle through first loop from front to back. Needle inserts on left side of stitch.
Wrap the yarn around the point of the right needle, from back to front and then give the yarn a little tug so that it pulls down between the two needles.
All that is just preparation so that you can now slip a loop through a loop. Using the tip of your right needle, grab that new string that is positioned through your two needles and pull it solidly to the front of your work. Then slip the old stitch off.
The goal in learning these steps is to get to the point where you can do a whole knit stitch in one easy movement, but don't get discouraged. In your lifetime you will do billions of knit stitches and it will become second nature to you. You'll be able to do it blindfolded!
Knit across the whole row repeating each knit stitch the same. When you come to the end of the row, turn and do it all again. You are making what is called "garter stitch."