Fetching details from the dictionary...

to be sorry; to beg someone's pardon; to feel small
to be much obliged; to be grateful; to be thankful
to be amazed; to be greatly impressed; to admire
to be dumbfounded; to be confounded; to be stunned; to be fed up (with); to be defeated; to be beaten
お忙しいところ畏れ入りますがご確認ください。
I apologize for troubling you when you are busy, but please check this.
わざわざお越しいただき畏れ入ります。
I am much obliged that you took the trouble to come.
彼のあまりの博識ぶりに畏れ入った。
I was humbled by the extent of his erudition.