32517 ÷ 6 = 5419 R3
Let's divide 32517 by 6.

Step 1:
6 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 (2) of the dividend behind the 3 and repeat the process: 32 / 6

Step 2:
6 goes into 32 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 30 from 32 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 6

Step 3:
6 goes into 25 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 54
Subtract 24 from 25 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 6

Step 4:
6 goes into 11 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 541
Subtract 6 from 11 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 6

Step 5:
6 goes into 57 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 5419
Subtract 54 from 57 to get 3.

The final result is 5419 with a remainder of 3.