8625 ÷ 9 = 958 R3
Let's divide 8625 by 9.

Step 1:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 8 to get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 9

Step 2:
9 goes into 86 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 81 from 86 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 9

Step 3:
9 goes into 52 5 times with a remainder of 7.
Write down 5 as next digit of of the result. 
Result so far: 95
Subtract 45 from 52 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 9

Step 4:
9 goes into 75 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 958
Subtract 72 from 75 to get 3.

The final result is 958 with a remainder of 3.