53317 ÷ 9 = 5924 R1
Alright, let's work through the division of 53317 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 (3) of the dividend behind the 5 and repeat the process: 53 / 9

Step 2:
9 goes into 53 5 times with a remainder of 8.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 45 from 53 to get 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 9

Step 3:
9 goes into 83 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 59
Subtract 81 from 83 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 9

Step 4:
9 goes into 21 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 592
Subtract 18 from 21 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 9

Step 5:
9 goes into 37 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 5924
Subtract 36 from 37 to get 1.

The final result is 5924 with a remainder of 1.