First draw an outline of the eagle and branch. Draw the outline lightly.
Now draw the head, beak and eyes of the eagle. Add some texture to them by shading accordingly as shown on the image.
Smudge the texture as shown on the image and rub out any smudging which goes out of boundaries.
Draw the feathery front of the eagle with the black spots inside. Then give a light shade to the feathery front.
Give the feathery front some smudging. Don't blend the light texture with the black spots.
Draw the feathers on the wing.
Shade the wing and give it some smudging.
Draw the feathers on the back of the eagle.
Do some shading and smudging on the back.
Draw the tail feathers and the feathers near them.
Give the feathers you have drawn some shading and smudging (lightly).
Draw the leg and foot with the nails. Draw some details and texture on the leg and give it some dark shading and some smudging.
Draw the branch with the details on it.
Give it some shading and smudging.
Add some more detail on the branch and tidy up the whole picture and the eagle is complete.