Our HT does no regular class teaching, but occasionally fills in for a teacher who is absent. She is snowed-under with paperwork for all sorts of things, but much of which is vital for strategic planning, targetting and so on.
She regularly reviews teaching and learning by observing class teachers, chatting with small groups of children from each class about an area of the curriculum, looking at work in books, etc.
She is also one of the first ports of call for praise and discipline with children, and deals with them on a one-to-one basis. All children in the school (500) will be sent to see her at least once a term to show her a piece of good work.
She is also available for meeting with parents about all sorts of issues.
She also does some consultancy work across the country on various issues; co-chairs the local network of schools and meets regularly with HTs of other primaries; she is involved deciding the programme in the local group for G&T children.
What else? She attends virtually all assemblies (does at least two a week herself I think), attends all performances, productions, sports days, fun runs, school fetes, etc.; goes along to support school sports fixtures whenever possible; often goes along on school trips and almost always goes on the 3 residentials run by the school each year ...
Recently my school (secondary) had an awards evening for the leavers, and was there as well. She still regards the children who left her school 5 years ago as "her" children
She does performance management reviews with staff, oversees all the finances for the school, applies for funding for future projects, etc., etc.
I could actually go on, and on, and on ...
I can't quite work out how she can possibly fit it all in!