40359 ÷ 9 = 4484 R3
Alright, let's work through the division of 40359 by 9 step by step.

Step 1:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 9

Step 2:
9 goes into 40 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 36 from 40 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 9

Step 3:
9 goes into 43 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 44
Subtract 36 from 43 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: 448
Subtract 72 from 75 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 9

Step 5:
9 goes into 39 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 4484
Subtract 36 from 39 to get 3.

The final result is 4484 with a remainder of 3.