被除數(shù)是381,余數(shù)是21,那么商最大是________.
15
分析:根據(jù)“余數(shù)要比除數(shù)小”得:除數(shù)應(yīng)大于21;根據(jù)“被除數(shù)÷除數(shù)=商…余數(shù)”得出:(381-21)能被除數(shù)整除,因為360=2×2×2×3×3×5,得出除數(shù)最小為24時,商最大,進而根據(jù)“被除數(shù)÷除數(shù)=商”解答即可.
解答:由分析知:除數(shù)為:24,
(381-21)÷24,
=360÷24,
=15;
故答案為:15.
點評:解答此題的關(guān)鍵:根據(jù)被除數(shù)、除數(shù)、商和余數(shù)的關(guān)系,進行解答即可.