97985 ÷ 3 = 32661 R2
Alright, let's work through the division of 97985 by 3 step by step.

Step 1:
3 goes into 9 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 9 from 9 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 3

Step 2:
3 goes into 7 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 32
Subtract 6 from 7 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 3

Step 3:
3 goes into 19 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 326
Subtract 18 from 19 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 3

Step 4:
3 goes into 18 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 3266
Subtract 18 from 18 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Step 5:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 32661
Subtract 3 from 5 to get 2.

The final result is 32661 with a remainder of 2.