12873 ÷ 6 = 2145 R3
Alright, let's work through the division of 12873 by 6 step by step.

Step 1:
6 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 / 6

Step 2:
6 goes into 12 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 12 from 12 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 6

Step 3:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 6 from 8 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 6

Step 4:
6 goes into 27 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 214
Subtract 24 from 27 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 6

Step 5:
6 goes into 33 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 2145
Subtract 30 from 33 to get 3.

The final result is 2145 with a remainder of 3.