There are a few online sources where you may be able to pick up a free copy of a manual for a Homelite 240 chainsaw, but the best place to start would be with Homelite themselves.
The Homelite website claims to offer manuals to download for every one in their range of products, all you need to do is visit the 'service & support' page and click 'operator's manuals'. Alternatively, you can phone the Homelite customer service center on 1-800-242-4672.Other Options
Websites such as lawnandgarden.manualsonline, manualparts.com or manualcart.com offer downloadable manuals for various outdoor equipment manufacturers, including Homelite chainsaws. There may also be online support forums where chainsaw users post questions or offer help regarding chainsaws.
Lastly, check online auction sites such as eBay now and then. I checked earlier today, and a user had set up an auction to sell a Homelite 240 chainsaw parts list manual, so you might be in luck.
If you're having trouble with your Homelite chainsaw, YouTube is another place to look for tips. Try this film, for example: