83872 ÷ 6 = 13978 R4
We're going to perform division on 83872 with 6 as the divisor.

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 (3) of the dividend behind the 2 and repeat the process: 23 / 6

Step 2:
6 goes into 23 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 18 from 23 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 6

Step 3:
6 goes into 58 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 139
Subtract 54 from 58 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 6

Step 4:
6 goes into 47 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 1397
Subtract 42 from 47 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 6

Step 5:
6 goes into 52 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 13978
Subtract 48 from 52 to get 4.

The final result is 13978 with a remainder of 4.