There are $7$ boxes arranged in a row and numbered $1$ through $7$. You have a stack of $2015$ cards, which you place one by one in the boxes. The first card is placed in box $1$, the second in box $2$, and so forth up to the seventh card which is placed in box $7$. You then start working back in the other direction, placing the eighth card in box $6$, the ninth in box $5$, up to the thirteenth card being placed in box $1$. The fourteenth card is then placed in box $2$, and this continues until every card is distributed. What box will the last card be placed in?

Let's think step by step and output the final answer within \boxed{}.
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