26169 ÷ 8 = 3271 R1
Alright, let's work through the division of 26169 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 (6) of the dividend behind the 2 and repeat the process: 26 / 8

Step 2:
8 goes into 26 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 24 from 26 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 8

Step 3:
8 goes into 21 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 32
Subtract 16 from 21 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 8

Step 4:
8 goes into 56 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 327
Subtract 56 from 56 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 8

Step 5:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 3271
Subtract 8 from 9 to get 1.

The final result is 3271 with a remainder of 1.