Place a ladder directly under the eaves. Use a ladder that is tall enough so you don't have to stretch to reach the eaves.
Scrape off any old paint on the eave overhang with a paint scraper. Sand down stubborn flakes of paint with a sanding block. Brush off the dust and any hanging debris.
Cut in around the edges of the overhang with a small paintbrush. If you have wood trim inside the overhang, cut around this as well.
Paint the overhang with a roller to give an even finish to the eaves. You may need to use a smaller edge roller on the wood trim. Let the paint dry for four hours.
Inspect the overhang. If you see spots where the wood is showing through, you will need a second coat of paint. Touch-ups will suffice for small areas.