Reaction:
$$CH_3NH_2 + CH_3COCl → CH_3CONHCH_3 + HCl$$
In this reaction, the nitrogen atom of methylamine acts as a nucleophile and attacks the carbonyl carbon of acetyl chloride. This leads to the formation of a new bond between nitrogen and carbonyl carbon, and breaking of the carbon-chlorine bond of acetyl chloride.
The product of this reaction is N-methylacetamide, which is an amide derived from acetic acid and methylamine.