971 ÷ 9 = 107 R8
No problem, we've got 971 and 9 for the division.

Step 1:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 9 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 9

Step 2:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 7 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 9

Step 3:
9 goes into 71 7 times with a remainder of 8.
Write down 7 as next digit of of the result. 
Result so far: 107
Subtract 63 from 71 to get 8.

The final result is 107 with a remainder of 8.