What is the remainder when `111...111_(729)` ones is divided by 728?

What is the remainder when 111...111_(81) ones is divided by 81?

The remainder is 57 when a number is divided by 10,000. What is the remainder when the same number is divided by 1,000?

A number N when divided by 14 given the remainder 5. What is the remainder when the same number is divided by 7?

A number when divided by 16 leaves remainder 8. What is the remainder when the same number is divided by 8?

A number when divided by 72 leaves remainder 10. What will be the remainder when the same number is divided by 9?

A number when divided by 72 leaves remainder 10. What will be the remainder when the same number is divided by 9?