71126 ÷ 8 = 8890 R6
Alright, let's work through the division of 71126 by 8 step by step.

Step 1:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 8

Step 2:
8 goes into 71 8 times with a remainder of 7.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 64 from 71 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 8

Step 3:
8 goes into 71 8 times with a remainder of 7.
Write down 8 as next digit of of the result. 
Result so far: 88
Subtract 64 from 71 to get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 8

Step 4:
8 goes into 72 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 889
Subtract 72 from 72 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 8

Step 5:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 8890
Subtract 0 from 6 to get 6.

The final result is 8890 with a remainder of 6.