36363636363636······36(记2008个)除以7的余数是几

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36363636363636······36(记2008个)除以7的余数是几

36363636363636······36(记2008个)除以7的余数是几
36363636363636······36(记2008个)除以7的余数是几

36363636363636······36(记2008个)除以7的余数是几
因为7能整除3对36组成的数的数363636.所以7就能整除2007对36组成的数,还剩一对36被7除余数是1.所以2008对36组成的数除以7余数是1.

363636÷7=51948,正好整除,所以3636……36(2008个)相当于36÷7=5余1,所以余数为1

363636/7 = 51948
36/7 = 5 + 1/7
36363636363636······36(记2008个)除以7的余数是1

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