97201 ÷ 6 = 16200 R1
Alright, let's work through the division of 97201 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 (2) of the dividend behind the 1 and repeat the process: 12 / 6

Step 3:
6 goes into 12 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 162
Subtract 12 from 12 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 6

Step 4:
6 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 1620
Subtract 0 from 0 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 6

Step 5:
6 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 16200
Subtract 0 from 1 to get 1.

The final result is 16200 with a remainder of 1.