35564 ÷ 9 = 3951 R5
Alright, let's work through the division of 35564 by 9 step by step.

Step 1:
9 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 9

Step 2:
9 goes into 35 3 times with a remainder of 8.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 27 from 35 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 9

Step 3:
9 goes into 85 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 39
Subtract 81 from 85 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 9

Step 4:
9 goes into 46 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 395
Subtract 45 from 46 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 9

Step 5:
9 goes into 14 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 3951
Subtract 9 from 14 to get 5.

The final result is 3951 with a remainder of 5.