To push aside; to shove someone or something out of the way, often rudely or forcefully.
赤ちゃんを抱えた母親が、周囲を押しのけて電車に乗った。
The mother carrying a baby shoved people aside to get on the train.
邪魔な箱を押しのけて通路を確保した。
I pushed the obstructing boxes aside to clear a passage.
彼は人の手を押しのけてドアを開けた。
He brushed someone's hand aside and opened the door.