66097 ÷ 8 = 8262 R1
Alright, let's work through the division of 66097 by 8 step by step.

Step 1:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 8

Step 2:
8 goes into 66 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 64 from 66 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 8

Step 3:
8 goes into 20 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 82
Subtract 16 from 20 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 8

Step 4:
8 goes into 49 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 826
Subtract 48 from 49 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 8

Step 5:
8 goes into 17 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 8262
Subtract 16 from 17 to get 1.

The final result is 8262 with a remainder of 1.