+678 Hello Guest,
there is a calculator, namely: Remainder Calculator | The best Long Division Calculator (calculatored.com)
and the link https://www.calculatored.com/math/algebra/remainder-calculator.
I also got the remainder 5.
Hope that was helpful.^^
Straight
+118687 What is the remainder when 5^(301) is divided by 7?
Let's look for a pattern
5^1 5 mod7 = 5 5^(6n+1) = 5 mod 7
5^2 25 mod 7 = 4 5^(6n+2) = 4 mod 7
5^3 125 mod 7 = 6 5^(6n+3) = 6 mod 7
5^4 625 mod 7 = 2 5^(6n+4) = 2 mod 7
5^5 3125 mod 7 =3 5^(6n+5) = 3 mod 7
5^6 15625 mod 7 = 1 5^(6n) = 1 mod 7
7 78125 mod 7 = 5
8 390625 mod 7 =4
an so we have a pattern
301 = 1 mod 6
so the remainder will be 5
