You have how much left?

You are out shopping one day with $N, and you find an item whose price has a random value between $0 and $N. You buy as many of these items as you can with your $N. What is the expected value of the money you have left over? (You may assume that $N is large compared to a penny, so that the distribution of prices is essentially continuous.)

Express your answer in terms of N, to two decimal places.

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