The Monkey King distributed 2012 peaches to a group of monkeys. The first time he divided the total (1/2), the second time he divided the rest (1/3), and the third time he divided the second time (1/3). /4), and each time after that, divide the remaining (1/5), (1/6), (1/7), ... (1/2012) how many peaches are left in the end?
猴王把2012个桃子分给一群猴子吃，第一次分了总数的(1/2)，第二次分了余下的(1/3)，第三次分了第二次余下的(1/4)，以后每次依次分掉前一次余下的(1/5)，(1/6)，(1/7)，…(1/2012)最后余下桃子多少个？
<gadget id="calculator">2_011 / 2_012</gadget>
<output>2_011/2_012 = around 0.999503</output>

<gadget id="calculator">2_012 * (2_011/2_012)</gadget>
<output>2_011</output>

<gadget id="calculator">2_012 - 2_011</gadget>
<output>1</output>

<result>1</result>