27083 ÷ 6 = 4513 R5
Alright, let's work through the division of 27083 by 6 step by step.

Step 1:
6 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 6

Step 2:
6 goes into 27 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 24 from 27 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 6

Step 3:
6 goes into 30 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 45
Subtract 30 from 30 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 6

Step 4:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 451
Subtract 6 from 8 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 6

Step 5:
6 goes into 23 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 4513
Subtract 18 from 23 to get 5.

The final result is 4513 with a remainder of 5.