We're dividing 97910671 by 781 
We want to figure out the number of times 97910671 can be divided by 781.

Step 1:
781 can be fit into 9 0 times, resulting in a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 781

Moving on to step 2:
When dividing 97 by 781, we get 0 with a remainder of 97.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 97 and we're left with 97.
Append the next digit (9) from the dividend to 97 and continue with: 979 / 781

Going ahead to step 3:
The number 781 fits into 979 1 times, leaving a remainder of 198.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 198 after subtracting 781 from 979.
Grab the next digit (1) from the dividend, add it to 198, then carry on: 1981 / 781

Going ahead to step 4:
781 goes into 1981 2 times with a remainder of 419.
The next digit of our result is 2. 
Result so far: 12.0
If we subtract 1562 from 1981, we get 419.
Fetch the next digit (0) from the dividend, attach it to 419 and continue: 4190 / 781

Going ahead to step 5:
If we divide 4190 by 781, we get 5 and a remainder of 285.
Write down 5 as next digit of the result. 
Result so far: 125.0
The remainder is 285 after subtracting 3905 from 4190.
Fetch the next digit (6) from the dividend, attach it to 285 and continue: 2856 / 781

Going ahead to step 6:
781 goes into 2856 3 times with a remainder of 513.
Use 3 as the next digit of our solution. 
Result so far: 1253.0
If we subtract 2343 from 2856, we get 513.
Include the next digit (7) from the dividend after 513, then repeat: 5137 / 781

Let's proceed to step 7:
When dividing 5137 by 781, we get 6 with a remainder of 451.
Write down 6 as next digit of the result. 
Result so far: 12536.0
Subtracting 4686 from 5137 leaves us with 451.
Include the next digit (1) from the dividend after 451, then repeat: 4511 / 781

Let's proceed to step 8:
781 can be fit into 4511 5 times, resulting in a remainder of 606.
Write down 5 as next digit of the result. 
Result so far: 125365.0
The remainder is 606 after subtracting 3905 from 4511.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6060, and continue the process.

On to step 9:
When dividing 6060 by 781, we get 7 with a remainder of 593.
The number 7 becomes the next digit in our result. 
Result so far: 125365.7
If we take 5467 away from 6060, we end up with 593.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5930, and continue the process.

Advancing to step 10:
5930 divided by 781 is 7 with a remainder of 463.
Write down 7 as next digit of the result. 
Result so far: 125365.77
Subtracting 5467 from 5930 leaves us with 463.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4630, and continue the process.

In conclusion, the division gives 125365.77 with a balance of 0.463.