12877 ÷ 5 = 2575 R2
We're going to perform division on 12877 with 5 as the divisor.

Step 1:
5 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 5

Step 2:
5 goes into 12 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 10 from 12 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 5

Step 3:
5 goes into 28 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 25
Subtract 25 from 28 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 5

Step 4:
5 goes into 37 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 257
Subtract 35 from 37 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 5

Step 5:
5 goes into 27 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 2575
Subtract 25 from 27 to get 2.

The final result is 2575 with a remainder of 2.