82875 ÷ 6 = 13812 R3
Alright, let's work through the division of 82875 by 6 step by step.

Step 1:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 8 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 6

Step 2:
6 goes into 22 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 18 from 22 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: 138
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: 1381
Subtract 6 from 7 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 6

Step 5:
6 goes into 15 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 13812
Subtract 12 from 15 to get 3.

The final result is 13812 with a remainder of 3.