DO is 5yo and September born. She needs prompting as to what's next when getting ready for school. So when she finishes breakfast I'll remind her to put her dish in the sink and then get dressed. She'll start getting dressed and needs a couple of check-ins to see what she's up to. I've tried leaving her to her own devices and will then find her sitting on her bedroom floor stark naked except for her school cardigan, lecturing her dolls about the finer points of Frozen. So I'll potter about getting the 2yo ready and myself ready while popping in on the 7yo and 5yo to remind them "trousers now..." or "don't forget to do up your shirt buttons...." or "start getting dressed!"
I help 5yo do her teeth, more to make sure she does them properly than anything else. I put the toothpaste on the brush and she brushes them herself while I supervise to make sure she gets the back ones and brushes for long enough. Ditto face washing, a sink full of water is temptation to mess about so I supervise to keep things running smoothly.
She can't do her own hair. Well, she can but she can't go to school with the result. Her idea of 'doing her hair' is to fasten into it absolutely every hair slide she can find, dozens of them sometimes. I like it in a plait, pony tail or bunches so it looks neat and isn't flapping about the place like a nit-trap.
She puts her own shoes and coat on and I'll remind her to hang her reading packet on the pushchair. I fill her water bottle and it's up to her to make sure it's in the basket, again I'll remind her "have you put your stuff on the buggy?"
On a weekend when it's all a bit more relaxed she chooses her own clothes and dresses herself at her own pace. If we're going out somewhere and I want her to look a bit less 'bohemian' I'll send her to change. We weren't doing anything today and she dressed herself in pink stripy shorts, blue glittery tights, a pink butterfly t-shirt and a long white cardigan (comes down to her knees). Hair was left down with a red knitted headband around her forehead and the whole thing was teamed with black boots. This is why she needs supervision 
I think you're expecting too much. Let your DC help get ready but a 5yo, IME, still needs prompting to keep them on task.