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Is there an intuitive way to define what the p-quotient of an integer partition is?

In response to the comments: my vague understanding is that the p-quotient is somehow division with remainder generalized to partitions. They turn up in the classic by Littlewood that I was reading: http://rspa.royalsocietypublishing.org/content/209/1098/333.abstract See also Macdonalds book on symmetric functions and Hall polynomials.

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p-quotient of an integer partition

Is there an intuitive way to define what the p-quotient of an integer partition is?