\(\overline{120ab}:376=\overline{ab}\)
\(\Rightarrow\overline{120ab}=376\cdot\overline{ab}\)
\(\Rightarrow12000+\overline{ab}=376\cdot\overline{ab}\)
\(\Rightarrow376\cdot\overline{ab}-\overline{ab}=12000\)
\(\Rightarrow\overline{ab}\cdot\left(376-1\right)=12000\)
\(\Rightarrow\overline{ab}\cdot375=12000\)
\(\Rightarrow\overline{ab}=12000:375\)
\(\Rightarrow\overline{ab}=32\)