76506 ÷ 8 = 9563 R2
Alright, let's work through the division of 76506 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 (6) of the dividend behind the 7 and repeat the process: 76 / 8

Step 2:
8 goes into 76 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 72 from 76 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 8

Step 3:
8 goes into 45 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 95
Subtract 40 from 45 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 8

Step 4:
8 goes into 50 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 956
Subtract 48 from 50 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 8

Step 5:
8 goes into 26 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 9563
Subtract 24 from 26 to get 2.

The final result is 9563 with a remainder of 2.