We look at the division of 610865 by 97 
Let's see how many times 97 fits into 610865.

On to step 1:
The number 97 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 97

Advancing to step 2:
If we divide 61 by 97, we get 0 and a remainder of 61.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 61 leaves us with 61.
Append the next digit (0) from the dividend to 61 and continue with: 610 / 97

Advancing to step 3:
The number 97 fits into 610 6 times, leaving a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 582 from 610, we get 28.
Bring next digit (8) of the dividend behind the 28 and repeat the process: 288 / 97

Moving on to step 4:
97 goes into 288 2 times with a remainder of 94.
Use 2 as the next digit of our solution. 
Result so far: 62.0
Deduct 194 from 288 and we're left with 94.
Take the next digit (6) from the dividend and append it to 94, then repeat: 946 / 97

Moving on to step 5:
The number 97 fits into 946 9 times, leaving a remainder of 73.
The next digit of our result is 9. 
Result so far: 629.0
If we subtract 873 from 946, we get 73.
Grab the next digit (5) from the dividend, add it to 73, then carry on: 735 / 97

Step 6:
If we divide 735 by 97, we get 7 and a remainder of 56.
Record the quotient 7 as the next digit in the result. 
Result so far: 6297.0
Subtract 679 from 735 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 7:
97 goes into 560 5 times with a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 6297.5
Subtract 485 from 560 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 8:
When dividing 750 by 97, we get 7 with a remainder of 71.
Use 7 as the next digit of our solution. 
Result so far: 6297.57
Deduct 679 from 750 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 9:
If we divide 710 by 97, we get 7 and a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 6297.577
The remainder is 31 after subtracting 679 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

After the division, we end up with 6297.577 and a remainder of 0.0031.