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Assuming you are just talking about IQ and not tons of other things like flash sync, auto focus...etc the biggest differences in IQ usually boil down to low light(ISO) and depth of field.

If you take picture of a field on a bright sunny day the difference between an iPhone 7 and D810 with a 35mm lens at f11 isn't much at all if viewed on a smart phone or printed on a post card.

If you head indoors with bad lighting and take a picture of a person with the iPhone 7 and D810 with a 35mm lens at f1.4 and view it on a 1920 x 1080 screen the difference is night and day.
So true. Printing is much the same.
 
Thanks everyone for the comments. I read them all and did a lot of additional reading.

Ended up buying a used Canon G7X for a stellar price. Very happy with the purchase and the manual controls alone make it worth it over the iPhone.
 
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