Well, how we do it (just as in DP and I) is that we both work for companies which have a degree of flexibility. He has flexible hours so can start early and finish early, I am a teacher and just take classes around the time that I need to be there for DS, which is actually only a 2.5 hour period of the day that we don't have covered. He attends state-subsidised childcare/education which we pay for but a far lower amount than we would pay in the UK (we are in Germany) and the drop-off and pick-up times are flexible. When I get a car as well, that 2.5 hour "black spot" that we have will be covered if I have any classes near DH's work, because I can take DS to him, drop him off for an hour or an hour and a half and come and pick him up afterwards. Because of DP's flexible work he would be able to just finish an hour later.
The things that allow us to do this - working and living very close together, the state-subsidised childcare being easily available, at least one of us having a job which can be split into "chunks" of time, the flexibility which allows him to chop and change hours. And the big one - both of us being not only willing but happy and dedicated to this. We accept the inconvenience because it allows DS time at home, and it allows us BOTH to work which to us is worth it, rather than one person taking the hit so that the other could work.
For all of us, it is perfect, because DS is home for half the day regardless, we both get to go to work which we enjoy and is fulfilling alongside our home stuff, it's not horrendously destructive like it was when (in the UK) we worked opposing shifts, him nights, me days, and never got any time together (not to mention DS being in childcare for 8-10 hours at a time)
I appreciate that not all industries could accommodate working hours like this, but my gut feeling is that a lot could but don't bother, because they don't have any problem finding workers who do the hours that they have set. And of course it might cost them more in resources, heating an office for longer hours with fewer people in for example.
There was a good guest blog a few days ago saying "Men don't do childcare because they don't want to." Written by a man, saying everything that feminists have been saying about childcare for decades. It was good. I'll see if I can find the link.