Glad that helped, and sorry to confuse your child's gender, I got mixed up in various people's discussions. Another thing to consider is thinking about the long division algorithm as a computational thinking exercise. Have your child write out the algorithm abstractly with variables instead of numbers and then see if you can solve problems with it when you plug in numbers like a computer program. Or if you're up to it actually write a computer program together that does long division only using simpler operations. But it is tricky to do this sort of thing if you don't have a strong math background, so some help might be handy here. I'm a cs prof, so I'm always interested in ways to get students understanding computational concepts earlier in
life...
All of these things will help cement concepts and increase abstract thought, which is fun, but there *is* some benefit to drilling in stupid, boring problems (mainly speed). It might be useful to teach a bit of a science lesson on how the brain works. If your daughter understands how practicing division problems (and practicing other skills) builds faster pathways between the neurons in her brain, so that she can do the problems without as much conscious thought, she might be more receptive to that kind of learning.
