It is important to try and split up the jobs in a way that each one has a similar load. Perhaps one cooks, and one cleans up. One does laundry and one does ironing. If someone really "hates" one job, try and split it up. This must be a mutual agreement or it will never work.
in my home whoever has time first does it,unless they've been doing too much for a little while. in that case the other one knows that things have become a little uneven and picks up on their end.it isn't a business partnership, it's a marriage. love and honesty must be a big part of the overall picture. not being child like is part of it too. who cares if one does a little more? it will all come out balanced. but there are some chores that one will be better at than the other. then it is natural that they fall more often to the one that does it best. for example ;I can't bake very well. my husband can. why should we both suffer with second rate apple pie just because he did an extra load of laundry?