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- N leaves remainder 6 when divided by 7.
★EXPLAINATION★
Remainder when divided by 7
Split the digits of the number in group of 3 starting from unit’s place. Add the alternate group and then find their difference. Divide the difference by 7 and get the remainder.
N = 122333444455555666666777777788888888999999999
Difference = (122+444+555+666+777+888+999+999)
-(333+455+666+777+788+888+999)
=(122+444+555+999)-(333+455+788)
=2100-1576
=524
=7 x 74 + 6
The difference leaves 6 as remainder when divided by 7. Thus N leaves 6 as remainder when divided by 7.
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N ʟᴇᴀᴠᴇs ʀᴇᴍᴀɪɴᴅᴇʀ 6 ᴡʜᴇɴ ᴅɪᴠɪᴅᴇᴅ ʙʏ 7..
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