A school plans a field trip and needs to arrange transportation using vans. Each van can carry a maximum of 12 students. If there are 150 students going on the trip, and the school wants to ensure that each van is filled to its maximum capacity whenever possible, how many vans will the school need to arrange? Additionally, how many students will be in the van that isn't full? Let's think step by step and output the final answer within \boxed{}.
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