We look at the division of 97657 by 6 
Our goal is to divide 97657 by 6.

Advancing to step 1:
The number 6 fits into 9 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 6 from 9 to get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 6

Let's proceed to step 2:
When dividing 37 by 6, we get 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we subtract 36 from 37, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 6

Step 3:
If we divide 16 by 6, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 162.0
The remainder is 4 after subtracting 12 from 16.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 6

Moving on to step 4:
When dividing 45 by 6, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 1627.0
Subtract 42 from 45 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Advancing to step 5:
When dividing 37 by 6, we get 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 16276.0
The remainder is 1 after subtracting 36 from 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 6:
If we divide 10 by 6, we get 1 and a remainder of 4.
The next digit of our result is 1. 
Result so far: 16276.1
The remainder is 4 after subtracting 6 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
If we divide 40 by 6, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 16276.16
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
6 goes into 40 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 16276.166
Subtracting 36 from 40 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 16276.166 with a remainder of 0.0004.