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The conduction band minimum of MoS₂ shifts from K valley to Q valley when its thickness increases from monolayer to bulk. Previously, K valley quantum transport has been extensively studied in monolayer MoS₂, revealing its intriguing physical properties such as the spin-valley locking effect and the interaction enhanced Zeeman splitting. However, the fabrication of monolayer MoS₂ device requires considerable efforts mainly due to the challenges of achieving good electrical contact. Here we report the observation of monolayer-like K valley quantum transport in high quality few-layer MoS₂. Well-developed two-fold quantum oscillations are presented, with valley Zeeman splitting and spin polarized Landau levels at high magnetic field. Further, we observe multi K band conduction in the Landau fan diagram, from which the spin-orbit coupling splitting energy is estimated. Our observation offers the possibility of switching from Q valley to K valley transport in few-layer MoS₂.