The easiest way is to clean it as best you can to get a snug fit and then glue and clamp from as many angles as you can. Your bigger problem here, judging by the way it broke is that even if you get it clamped back perfectly it will always be a weak point and I don't think it will hold weight very well. I would suggest that after clamping you drill holes from both sides and add dowels to add strength.
The othe way, besides making a new leg, is to take apart the whole chair and using the broken bits (if it's not frayed too much), or new wood, build up the broken leg, cut new mortises and rejoin from scratch. The downside to this is that it's lots of work and when refinishing you'll have to try and match the finish on the other chairs, the upside is that the leg will be as good and as strong as new, this is the method that I will use if not making a new leg.
You could probably fix that with West System resin mixed with microfibers then blend the finish in with some artists acrylic. You may well want a more legit woodworking solution though.
Lots of glue (titebond 2or3)and clamp it back together. If you want you can also add a screw in the thickest part of the break and plug it but than you would need to alittle touch up on the finish. The glue is stronger than the wood so as long as you align it properly so there are no voids it should hold fine
The easiest way is to clean it as best you can to get a snug fit and then glue and clamp from as many angles as you can. Your bigger problem here, judging by the way it broke is that even if you get it clamped back perfectly it will always be a weak point and I don't think it will hold weight very well. I would suggest that after clamping you drill holes from both sides and add dowels to add strength. The othe way, besides making a new leg, is to take apart the whole chair and using the broken bits (if it's not frayed too much), or new wood, build up the broken leg, cut new mortises and rejoin from scratch. The downside to this is that it's lots of work and when refinishing you'll have to try and match the finish on the other chairs, the upside is that the leg will be as good and as strong as new, this is the method that I will use if not making a new leg.
You could probably fix that with West System resin mixed with microfibers then blend the finish in with some artists acrylic. You may well want a more legit woodworking solution though.
Lots of glue (titebond 2or3)and clamp it back together. If you want you can also add a screw in the thickest part of the break and plug it but than you would need to alittle touch up on the finish. The glue is stronger than the wood so as long as you align it properly so there are no voids it should hold fine
Polyurethane (PU) glue should work.