9626 ÷ 9 = 1069 R5
Alright, let's work through the division of 9626 by 9 step by step.

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 (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 2:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 6 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 9

Step 3:
9 goes into 62 6 times with a remainder of 8.
Write down 6 as next digit of of the result. 
Result so far: 106
Subtract 54 from 62 to get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 9

Step 4:
9 goes into 86 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 1069
Subtract 81 from 86 to get 5.

The final result is 1069 with a remainder of 5.