27314 ÷ 8 = 3414 R2
Alright, let's work through the division of 27314 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 (3) of the dividend behind the 3 and repeat the process: 33 / 8

Step 3:
8 goes into 33 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 34
Subtract 32 from 33 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 8

Step 4:
8 goes into 11 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 341
Subtract 8 from 11 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 8

Step 5:
8 goes into 34 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 3414
Subtract 32 from 34 to get 2.

The final result is 3414 with a remainder of 2.