Question

Find the remainder when 888888 ........... 184times is divide by 37

Answer 1

Remainder = 8  when 888888 ........... 184times is divide by 37

Step-by-step explanation:

888888 ........... 184 times is divide by 37

8888888......... 184 times

= 8 * (11111............184)times

now 111/37 = 3      1111111/37  = 3003    111111111/37  = 3003003

and so on

183 /3 = 61

=> 111.......................183 is divisible by 37

8 * (11111............184)times

= 8 * (11111............ 183 times * 10  + 1)

= 80 * 11111............ 183 times  + 8

11111............ 183 times  is divisible by 37

Hence remainder = 8

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