93629 ÷ 9 = 10403 R2
Alright, let's work through the division of 93629 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 (3) of the dividend behind the 0 and repeat the process: 3 / 9

Step 2:
9 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 (6) of the dividend behind the 3 and repeat the process: 36 / 9

Step 3:
9 goes into 36 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 104
Subtract 36 from 36 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 9

Step 4:
9 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 1040
Subtract 0 from 2 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 9

Step 5:
9 goes into 29 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 10403
Subtract 27 from 29 to get 2.

The final result is 10403 with a remainder of 2.