We look at the division of 816117 by 97 
Our goal is to divide 816117 by 97.

Advancing to step 1:
The number 97 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 97

Advancing to step 2:
97 goes into 81 0 times with a remainder of 81.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 81 leaves us with 81.
Append the next digit (6) from the dividend to 81 and continue with: 816 / 97

Moving on to step 3:
The number 97 fits into 816 8 times, leaving a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 776 from 816 leaves us with 40.
Fetch the next digit (1) from the dividend, attach it to 40 and continue: 401 / 97

Moving on to step 4:
The number 97 fits into 401 4 times, leaving a remainder of 13.
The next digit of our result is 4. 
Result so far: 84.0
Deduct 388 from 401 and we're left with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 97

Going ahead to step 5:
The number 97 fits into 131 1 times, leaving a remainder of 34.
The next digit of our result is 1. 
Result so far: 841.0
Subtracting 97 from 131 leaves us with 34.
Append the next digit (7) from the dividend to 34 and continue with: 347 / 97

Moving on to step 6:
When dividing 347 by 97, we get 3 with a remainder of 56.
The next digit of our result is 3. 
Result so far: 8413.0
The remainder is 56 after subtracting 291 from 347.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
The number 97 fits into 560 5 times, leaving a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 8413.5
If we take 485 away from 560, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 8:
If we divide 750 by 97, we get 7 and a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 8413.57
If we subtract 679 from 750, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 9:
When dividing 710 by 97, we get 7 with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 8413.577
Subtracting 679 from 710 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final result is 8413.577 with a remainder of 0.0031.