Show 3335 ÷ 23 with a scaffolding algorithm and then by the standard algorithm. Show how each number in the standard algorithm is associated with each number in the scaffolding algorithm.

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The Answer is

In the second algorithm, the 23 actually is 2300, yielding 100 in the quotient. The 103 is actually 1030, from which 920 (i.e., 23 × 40, which is 460 twice, making the first division easier) is subtracted, leaving 115 in both algorithms. In the first algorithm, 115 ÷ 23 is done in two steps, and in one step in the second algorithm, both times yielding 5. The first scaffolding algorithm could be done in multiple ways yielding the same result.

Show 3335 ÷ 23 with a Scaffolding Algorithm and Then