9631 ÷ 8 = 1203 R7
No problem, we've got 9631 and 8 for the division.

Step 1:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 9 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 8

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

Step 3:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 120
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 8

Step 4:
8 goes into 31 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 1203
Subtract 24 from 31 to get 7.

The final result is 1203 with a remainder of 7.