If 5
55
is divided by 4, then the remainder is:

We need to find the remainder of
4
5
55

​
.
We can express 5 as (4+1).

Using binomial expansion or modular arithmetic:

5≡1(mod4)
Therefore, raising both sides to the power of 55:

5
55
≡1
55
(mod4)
5
55
≡1(mod4)
The remainder is 1.