3877 ÷ 8 = 484 R5
No problem, we've got 3877 and 8 for the division.

Step 1:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 8

Step 2:
8 goes into 38 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 32 from 38 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 8

Step 3:
8 goes into 67 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 48
Subtract 64 from 67 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 8

Step 4:
8 goes into 37 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 484
Subtract 32 from 37 to get 5.

The final result is 484 with a remainder of 5.