Giddy up, pardner! In today's lesson, we're going to learn how to draw a cartoon horse. Once you've followed our easy steps, you'll be galloping along in no time and impressing friends and family with your amazing artistic skills. So, saddle up, grab your pencils and let's get going! STEP-1: Coming Out of the Stables with Some Basic Shapes The first part of learning how to draw a cartoon horse is sketching out some basic shapes which will form the basis for our awesome equine of all, draw an oval shape, followed by an irregular, larger circle beneath as in.