Not Now

The remainder of $125379034007867$ when is divided by $10$ is $7$ . As $10$ includes $5$ in their divisors, it is only necessary divide the remainder by $5$ to find the remainder we are looking for.

So, $\frac{7}{5}=5\times 1+2 \therefore$ the remainder is $\boxed{2}$

Since a multiple of 5 ends in a 0 or a five, the nearest one ends in 65 clearly making the remainder 2. No division or anything needed, just logic

Just look at number 7. 7/5=1R2.The big number is to fool you to think that is something so complicated but it is so easy!