1
to carry;to transport;to move;to convey
荷物を二階に運んでいただけませんか。
Would you carry my luggage upstairs?
2
to come;to go
as お運びになる, お運び下さる, etc.
3
to use (a brush, chopsticks, etc.);to move
4
to carry out;to proceed with;to arrange
5
to go (well, etc.);to proceed;to progress
仕事はすらすらと運んだ。
The work progressed smoothly.