We decided to HE for lifestyle/philosophical reasons rather than because of bad experiences at school - none of my children have been to school. I have a long list of reasons, none of them significant by themselves but as they added up I realised that I would not be satisfied with a school education for my children.
I have a 7yo (year 2 age) and a typical day for her might be -
Handwriting - 5-10 mins (we're focusing on handwriting right now so doing it daily)
Some kind of spelling or phonics work - about 10 mins
Reading aloud to me - about 10 mins
Maths - 15-20 mins
When she's done that, we then do what I suppose you might call 'topic' work - we're focusing on history and foreign languages at the moment but art, science, geography etc all get woven in at some point, or sometimes we do something as a one-off just because they're interested. This probably lasts 15-30 mins depending on what we're doing, but sometimes it takes a bit longer.
After all that I read aloud to them and they either sit and listen or do colouring, drawing or some kind of art. I plan to read a chapter but they usually convince me to read more!
That's our academics done for the day. If there's time before lunch they'll play or continue their art projects, and after lunch they usually watch TV for a bit (I don't allow TV before lunch). The afternoon varies - chores at home (they're allowed to play too ;) ), a trip to the park or library, seeing friends, running errands.... and some days they have classes like swimming etc.
That's a typical 'school' day, but it doesn't happen every day - typically we'll have one day a week when we have some kind of trip out, whether it's an activity involving other HE'ers, a trip to a museum, visiting relatives or just a day out in the fresh air. One great thing about HE is flexibility and I've learnt not to worry about 'getting behind' if they have a few days out in one week! We could do more academics, we could do less, but we've found the balance for us right now, as every HE family does.