There seem to be a lack of origami dogs, so I modified a common-ish model to make this
Begin with a blank piece of origami paper or squared printer paper.
(Disregard the folds; I had messed up. =_=')
Fold one corner to the center. If you are having issues making these folds match up, fold the sides of the paper together, making an "X" in the center.
Fold a second corner to the center.
Fold the third corner to the center.
Fold one side to the center.
Fold the other side to the center.
Squish one flap open.
Squish other flap open
Bring back flap to front.
Fold flaps in half, this is crucial!!!
This is the only tricky part. Bring the side to the center
After the hard step, fold the flap you made behind.
Fold down the square (turned on a corner) flap.
Make the head by folding down the protrusion.
Fold the tail to a 90 degree angle
Fold the nose the same way as the tail, fold the tip backwards, and fold part of the head backwards
Fold the edges of the tail inward. To what point is not necessarily important.