76308 ÷ 8 = 9538 R4
Alright, let's work through the division of 76308 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 (3) of the dividend behind the 4 and repeat the process: 43 / 8

Step 3:
8 goes into 43 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 95
Subtract 40 from 43 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 8

Step 4:
8 goes into 30 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 953
Subtract 24 from 30 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 8

Step 5:
8 goes into 68 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 9538
Subtract 64 from 68 to get 4.

The final result is 9538 with a remainder of 4.