Let's divide 635208 by 97
Our goal is to divide 635208 by 97.

Moving on to step 1:
When dividing 6 by 97, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 97

Let's proceed to step 2:
97 goes into 63 0 times with a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Fetch the next digit (5) from the dividend, attach it to 63 and continue: 635 / 97

Step 3:
97 goes into 635 6 times with a remainder of 53.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 53 after subtracting 582 from 635.
Take the next digit (2) from the dividend and append it to 53, then repeat: 532 / 97

Advancing to step 4:
97 can be fit into 532 5 times, resulting in a remainder of 47.
Use 5 as the next digit of our solution. 
Result so far: 65.0
If we take 485 away from 532, we end up with 47.
Append the next digit (0) from the dividend to 47 and continue with: 470 / 97

Going ahead to step 5:
97 goes into 470 4 times with a remainder of 82.
Record the quotient 4 as the next digit in the result. 
Result so far: 654.0
If we subtract 388 from 470, we get 82.
Take the next digit (8) from the dividend and append it to 82, then repeat: 828 / 97

Advancing to step 6:
When dividing 828 by 97, we get 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 6548.0
Deduct 776 from 828 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 7:
If we divide 520 by 97, we get 5 and a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 6548.5
The remainder is 35 after subtracting 485 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
97 goes into 350 3 times with a remainder of 59.
Write down 3 as next digit of the result. 
Result so far: 6548.53
Subtract 291 from 350 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 9:
The number 97 fits into 590 6 times, leaving a remainder of 8.
The next digit of our result is 6. 
Result so far: 6548.536
Deduct 582 from 590 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
When dividing 80 by 97, we get 0 with a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 6548.536
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 11:
When dividing 800 by 97, we get 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 6548.53608
If we take 776 away from 800, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 12:
97 can be fit into 240 2 times, resulting in a remainder of 46.
Write down 2 as next digit of the result. 
Result so far: 6548.536082
The remainder is 46 after subtracting 194 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 13:
460 divided by 97 is 4 with a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 6548.5360824
If we subtract 388 from 460, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 14:
97 goes into 720 7 times with a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 6548.53608247
If we take 679 away from 720, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

In conclusion, the division gives 6548.53608247 with a balance of 4.1e-08.