27275 ÷ 8 = 3409 R3
Alright, let's work through the division of 27275 by 8 step by step.

Step 1:
8 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 / 8

Step 2:
8 goes into 27 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 24 from 27 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 8

Step 3:
8 goes into 32 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 34
Subtract 32 from 32 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 8

Step 4:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 340
Subtract 0 from 7 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 8

Step 5:
8 goes into 75 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 3409
Subtract 72 from 75 to get 3.

The final result is 3409 with a remainder of 3.