日本語 Japanese Ask Questions Thread 4

If you have a question about the language, ask it and fellow 4channers might see it and answer it for you.


Japanese Ask Questions Thread2
http://dis.4chan.org/read/lang/1206158123/1-40

Japanese Ask Questions Thread3
http://dis.4chan.org/read/lang/1267485093/1-40

I'm having trouble with this sentence:
この作業のこれからの部分はお任せして

I'm not sure of the meaning of the "お任せして" at the end. Would this sentence be, "I'll leave the rest of the parts of this job to you," or, "Leave the rest of the part of this job to me."