97101 ÷ 6 = 16183 R3
We're going to perform division on 97101 with 6 as the divisor.

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 (1) of the dividend behind the 1 and repeat the process: 11 / 6

Step 3:
6 goes into 11 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 161
Subtract 6 from 11 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 6

Step 4:
6 goes into 50 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 1618
Subtract 48 from 50 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 6

Step 5:
6 goes into 21 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 16183
Subtract 18 from 21 to get 3.

The final result is 16183 with a remainder of 3.