97905 ÷ 6 = 16317 R3
Alright, let's work through the division of 97905 by 6 step by step.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Step 2:
6 goes into 37 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 36 from 37 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 6

Step 3:
6 goes into 19 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 163
Subtract 18 from 19 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 6

Step 4:
6 goes into 10 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1631
Subtract 6 from 10 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 6

Step 5:
6 goes into 45 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 16317
Subtract 42 from 45 to get 3.

The final result is 16317 with a remainder of 3.