89124 ÷ 8 = 11140 R4
Alright, let's work through the division of 89124 by 8 step by step.

Step 1:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 8 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 8

Step 2:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 8 from 9 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 8

Step 3:
8 goes into 11 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 111
Subtract 8 from 11 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 8

Step 4:
8 goes into 32 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 1114
Subtract 32 from 32 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 8

Step 5:
8 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 11140
Subtract 0 from 4 to get 4.

The final result is 11140 with a remainder of 4.