31659 ÷ 9 = 3517 R6
Alright, let's work through the division of 31659 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 (1) of the dividend behind the 3 and repeat the process: 31 / 9

Step 2:
9 goes into 31 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 27 from 31 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 9

Step 3:
9 goes into 46 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 35
Subtract 45 from 46 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 9

Step 4:
9 goes into 15 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 351
Subtract 9 from 15 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 9

Step 5:
9 goes into 69 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 3517
Subtract 63 from 69 to get 6.

The final result is 3517 with a remainder of 6.