Let's divide 636639 by 97
We want to divide 636639 by 97.

Let's proceed to step 1:
If we divide 6 by 97, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
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

Advancing to step 2:
If we divide 63 by 97, we get 0 and a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Fetch the next digit (6) from the dividend, attach it to 63 and continue: 636 / 97

Moving on to step 3:
The number 97 fits into 636 6 times, leaving a remainder of 54.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 582 from 636 leaves us with 54.
Fetch the next digit (6) from the dividend, attach it to 54 and continue: 546 / 97

Advancing to step 4:
The number 97 fits into 546 5 times, leaving a remainder of 61.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
Subtract 485 from 546 to get 61.
Take the next digit (3) from the dividend and append it to 61, then repeat: 613 / 97

Let's proceed to step 5:
97 can be fit into 613 6 times, resulting in a remainder of 31.
Put 6 as the next digit of the answer. 
Result so far: 656.0
Subtracting 582 from 613 leaves us with 31.
Take the next digit (9) from the dividend and append it to 31, then repeat: 319 / 97

On to step 6:
If we divide 319 by 97, we get 3 and a remainder of 28.
Put 3 as the next digit of the answer. 
Result so far: 6563.0
If we subtract 291 from 319, we 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.

Going ahead to step 7:
If we divide 280 by 97, we get 2 and a remainder of 86.
Write down 2 as next digit of the result. 
Result so far: 6563.2
Subtract 194 from 280 to 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.

Step 8:
The number 97 fits into 860 8 times, leaving a remainder of 84.
The next digit of our result is 8. 
Result so far: 6563.28
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.

Moving on to step 9:
If we divide 840 by 97, we get 8 and a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 6563.288
If we take 776 away from 840, we end up 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 6563.288 with a balance of 0.0064.