12671 ÷ 8 = 1583 R7
Alright, let's work through the division of 12671 by 8 step by step.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 8

Step 2:
8 goes into 12 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 12 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 8

Step 3:
8 goes into 46 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 40 from 46 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 8

Step 4:
8 goes into 67 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 158
Subtract 64 from 67 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 8

Step 5:
8 goes into 31 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 1583
Subtract 24 from 31 to get 7.

The final result is 1583 with a remainder of 7.