59755 ÷ 9 = 6639 R4
Alright, let's work through the division of 59755 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 (7) of the dividend behind the 5 and repeat the process: 57 / 9

Step 3:
9 goes into 57 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 66
Subtract 54 from 57 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 9

Step 4:
9 goes into 35 3 times with a remainder of 8.
Write down 3 as next digit of of the result. 
Result so far: 663
Subtract 27 from 35 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 9

Step 5:
9 goes into 85 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 6639
Subtract 81 from 85 to get 4.

The final result is 6639 with a remainder of 4.