27512 ÷ 6 = 4585 R2
Alright, let's work through the division of 27512 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 (5) of the dividend behind the 3 and repeat the process: 35 / 6

Step 3:
6 goes into 35 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 45
Subtract 30 from 35 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 6

Step 4:
6 goes into 51 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 458
Subtract 48 from 51 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 6

Step 5:
6 goes into 32 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 4585
Subtract 30 from 32 to get 2.

The final result is 4585 with a remainder of 2.