96873 ÷ 6 = 16145 R3
Let's divide 96873 by 6.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 6

Step 2:
6 goes into 36 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 36 from 36 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: 161
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: 1614
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: 16145
Subtract 30 from 33 to get 3.

The final result is 16145 with a remainder of 3.