单选题 What is the remainder when 73 is divided by 9?
  • (A) 0
  • (B) 1
  • (C) 2
  • (D) 3
  • (E) 5


【正确答案】 B
【答案解析】To solve this problem, first find 73 as follows:
7×7×7=343
Then use long division to find the remainder when 343 is divided by 9.
Take the dividend (343) one digit at a time starting from the left.
Because 9 does not divide evenly with 3, use the first two digits (34).
Find the biggest multiple of 9 that is less than 34, in this case 9 ~ 3, or 27.
Subtract 27 from 34 to get a remainder of 7. Next, "bring down" the next digit of the dividend (3) to get 73. Find the biggest multiple of 9 that is less than 73, or 9×8=72. Subtract 72 from 73 to get a remainder of 1. Because there are no more digits in the dividend, 1 is the final remainder.