10308 ÷ 8 = 1288 R4
Let's divide 10308 by 8.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 8

Step 2:
8 goes into 10 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 10 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 8

Step 3:
8 goes into 23 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 16 from 23 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 8

Step 4:
8 goes into 70 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 128
Subtract 64 from 70 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: 1288
Subtract 64 from 68 to get 4.

The final result is 1288 with a remainder of 4.