miscarriage

I would be around 13-14 weeks pregnant. Went in to check heart beat and nothing. They think baby stopped growing around 11/12 weeks. They said I could miscarry naturally at home if I want to. I want to do this because I feel it's the best decision but I'm surprised they're giving me the option since it's a late miscarriage. I thought usually that meant a d&c. Has anyone else miscarried this far along and were able to do it at home naturally without complications? What was your recovery time like physically and emotionally?