97001 ÷ 6 = 16166 R5
No problem, we've got 97001 and 6 for the division.

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 (0) of the dividend behind the 1 and repeat the process: 10 / 6

Step 3:
6 goes into 10 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 161
Subtract 6 from 10 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 6

Step 4:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 1616
Subtract 36 from 40 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 6

Step 5:
6 goes into 41 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 16166
Subtract 36 from 41 to get 5.

The final result is 16166 with a remainder of 5.