The remainder when a repeating number is divided by 999.

• Divide 517 by 999 and find the remainder

• The remainder will repeat every 3 digits

• Take the first 3 digits of the number and divide by 999

• Multiply ...read more

If the digits 517 is repeated N times ,the remainder would be 517N mod999 ,

Say ,

517517517517517517517517517517517517517517517

=15×517 mod999

=7755

≡ 7k+755

≡[7]+755

≡ 762