auxiliary N4 common politewritten kenjougo (humble)
〜でいただく — voiced allomorph of 〜ていただく
〜でいただく ・ でいただく
Builds on て形
A full written guide for 〜でいただく is on the way.
This point is mapped in the grammar tree, but its examples, formation table and usage notes haven't been written yet. The fastest way to learn it now is to meet it in real sentences inside Jengo.
See 〜でいただく in real sentences
Jengo shows 〜でいただく the way you actually meet it: inside real Japanese sentences, so it sticks instead of staying an abstract rule.
Study it in JengoSources Compiled with reference to A Dictionary of Basic Japanese Grammar. Editorial confidence: medium.