I work 5 days a week, 6:45 am -3:45 pm, from home.
We have 2 kids in nursery and 1 in reception.
My husband gets the kids ready every morning, gives them breakfast.
I then leave my desk for 15 minutes to drop off the 2 youngest at nursery at 7:45 - back at 8 am.
My husband leaves the house at 8 am for work.
Our school age child stays with me until 8:30 am whilst I am working. I then take my morning break to do the school run.
After that I work from home until 3:45 pm. When I finish work I pick up my son from school and the kids from nursery.
We usually eat very simple food in the evening, like steamed fish, vegetables, mashed potatoes or oven pizza.
I definitely fullfill my hours at work and I always reach my targets (sales jobs).
We don't have any family we can rely on for childcare, so if our kids become ill, we have to take days off.
Your post makes it sound like it's impossible, but it definitely isn't.