Hey Dave, 46 at the time of my divorce fella here, who also lived in an apartment. During my divorce I became a volunteer for a hospice organization, being assigned to military veterans (I'm a former 11Z) as their veteran representative. Stayed with the organization for several years, until I moved from their area of operations... What a life changing experience that was for the positive, in a world of never ending hurt. On the personal finance side, I have been volunteering at a local non-profit to help them get the best terms for their 403b plans, and helping individuals make informed choices as to where they should put their $$$ in the plan. So much to be done, and I can hardly think of a better use of your time than volunteering.
I like to fancy myself an avid outdoorsman, so a lot of time was taken up with fishing during the season, making lures and tying flies during the winter. I also like to target shoot, so making my own ammunition is a hobby I have enjoyed since I was a teenager, and I find it mixes relaxation with great precision handiwork. You might look into putting in some time at raptor rehab shelter, or even helping out with outdoor programs at a state/local park. I had a great time teaching the ladies of the U.S. Turkey Federation fly casting... Seems pretty off-the-wall, but hey, it happened. Posting help to questions on boards for activities you enjoy is something I like to do too. Of course exercise continues to be a big part of life, and it was always nice that the complexes were kept free of snow, so that even after a big snowstorm, I could continue at least brisk walks... Nice way to meet a lot of folks too.
Back to volunteering a bit closer to home - You might ask the office about older residents who may be cut off from the world, if they could use some help with simple, frustrating issues. Things such as setting up a modem or wi-fi router, hooking up their tv, programming their remote, setting up a new phone or computer, carrying their groceries, even clearing off snow from their cars during your walk... These tiny things make a huge difference to these folks, many very lonely, and might as well be like asking us to move Mt. Everest with a shovel. Lastly, if you might like to have a ear to bend, drop me a PM... I know how rough divorce is, especially with kids involved and as an older fella... I was married for almost 24 years, my divorce was under terrible circumstances, and it takes all you can muster to get through it sometimes, even after the ink has dried. Good luck.