34877 ÷ 6 = 5812 R5
No problem, we've got 34877 and 6 for the division.

Step 1:
6 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 (4) of the dividend behind the 3 and repeat the process: 34 / 6

Step 2:
6 goes into 34 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 30 from 34 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 6

Step 3:
6 goes into 48 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 58
Subtract 48 from 48 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 6

Step 4:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 581
Subtract 6 from 7 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 6

Step 5:
6 goes into 17 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 5812
Subtract 12 from 17 to get 5.

The final result is 5812 with a remainder of 5.