without getting annoyed; without being bothered; diligently
Describes doing something without reluctance or irritation, often implying a diligent or careful attitude. Derived from the negative continuative form of 面倒がる.
See also: 面倒がる
He cleans every day without complaining.
You should read the manual without feeling it's a hassle.
Negative continuative form of the verb 面倒がる (to feel bothered), itself derived from 面倒 (trouble) + がる (to show signs of).