59627 ÷ 9 = 6625 R2
Alright, let's work through the division of 59627 by 9 step by step.

Step 1:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 9

Step 2:
9 goes into 59 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 54 from 59 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 9

Step 3:
9 goes into 56 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 66
Subtract 54 from 56 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 9

Step 4:
9 goes into 22 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 662
Subtract 18 from 22 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 9

Step 5:
9 goes into 47 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 6625
Subtract 45 from 47 to get 2.

The final result is 6625 with a remainder of 2.