18971 ÷ 8 = 2371 R3
Alright, let's work through the division of 18971 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 (8) of the dividend behind the 1 and repeat the process: 18 / 8

Step 2:
8 goes into 18 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 16 from 18 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 8

Step 3:
8 goes into 29 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 23
Subtract 24 from 29 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 8

Step 4:
8 goes into 57 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 237
Subtract 56 from 57 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 8

Step 5:
8 goes into 11 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 2371
Subtract 8 from 11 to get 3.

The final result is 2371 with a remainder of 3.