17381 ÷ 8 = 2172 R5
Alright, let's work through the division of 17381 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 (7) of the dividend behind the 1 and repeat the process: 17 / 8

Step 2:
8 goes into 17 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 16 from 17 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 8

Step 3:
8 goes into 13 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 8 from 13 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 8

Step 4:
8 goes into 58 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 217
Subtract 56 from 58 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 8

Step 5:
8 goes into 21 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 2172
Subtract 16 from 21 to get 5.

The final result is 2172 with a remainder of 5.