We look at the division of 710941 by 97 
We want to figure out the number of times 710941 can be divided by 97.

Let's proceed to step 1:
The number 97 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 97

Moving on to step 2:
The number 97 fits into 71 0 times, leaving a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 71, we end up with 71.
Append the next digit (0) from the dividend to 71 and continue with: 710 / 97

On to step 3:
97 can be fit into 710 7 times, resulting in a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 679 from 710, we get 31.
Grab the next digit (9) from the dividend, add it to 31, then carry on: 319 / 97

Moving on to step 4:
The number 97 fits into 319 3 times, leaving a remainder of 28.
Put 3 as the next digit of the answer. 
Result so far: 73.0
Subtracting 291 from 319 leaves us with 28.
Grab the next digit (4) from the dividend, add it to 28, then carry on: 284 / 97

On to step 5:
97 goes into 284 2 times with a remainder of 90.
Use 2 as the next digit of our solution. 
Result so far: 732.0
The remainder is 90 after subtracting 194 from 284.
Grab the next digit (1) from the dividend, add it to 90, then carry on: 901 / 97

Step 6:
97 goes into 901 9 times with a remainder of 28.
Write down 9 as next digit of the result. 
Result so far: 7329.0
Subtract 873 from 901 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 7:
The number 97 fits into 280 2 times, leaving a remainder of 86.
Record the quotient 2 as the next digit in the result. 
Result so far: 7329.2
If we subtract 194 from 280, we get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Going ahead to step 8:
97 can be fit into 860 8 times, resulting in a remainder of 84.
The next digit of our result is 8. 
Result so far: 7329.28
If we take 776 away from 860, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 9:
The number 97 fits into 840 8 times, leaving a remainder of 64.
Write down 8 as next digit of the result. 
Result so far: 7329.288
Deduct 776 from 840 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 7329.288 with a balance of 0.0064.