8301 ÷ 8 = 1037 R5
No problem, we've got 8301 and 8 for the division.

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 (3) of the dividend behind the 0 and repeat the process: 3 / 8

Step 2:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 8

Step 3:
8 goes into 30 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 103
Subtract 24 from 30 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 8

Step 4:
8 goes into 61 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 1037
Subtract 56 from 61 to get 5.

The final result is 1037 with a remainder of 5.