Get busy like a beaver and learn how to draw one of these cute critters with our easy-to-follow steps. Learning how to draw a cartoon beaver couldn't be simpler, so grab your pencils and follow us down to the river bank where we’ll get better acquainted with our furry friend! STEP-1: Let’s Get Beavering Away with a Basic Outline These busy little critters can always be found down by the river building their lodges, dams and canals. So, let's get busy too and begin our drawing of a cartoon beaver by sketching out the basic outline. First of all, draw.