Why does the long division algorithm work?

I am having trouble answering the following question. Any help would be greatly appreciated.

Use long division to solve the following problem. How would you explain this algorithm conceptually to a 5th grader? In other words, why does this method work?
462 ÷ 3

Thanks in advance!

?2014-02-06T19:08:35Z

Favorite Answer

462 ÷ 3
= 154

04

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