We're dividing 636235 by 97 
We want to figure out the number of times 636235 can be divided by 97.

Advancing 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
If we take 0 away from 6, we end up with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 97

Going ahead to step 2:
97 goes into 63 0 times with a remainder of 63.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 63 leaves us with 63.
Append the next digit (6) from the dividend to 63 and continue with: 636 / 97

Step 3:
636 divided by 97 is 6 with a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 582 from 636, we get 54.
Bring next digit (2) of the dividend behind the 54 and repeat the process: 542 / 97

Step 4:
542 divided by 97 is 5 with a remainder of 57.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
If we subtract 485 from 542, we get 57.
Append the next digit (3) from the dividend to 57 and continue with: 573 / 97

Step 5:
573 divided by 97 is 5 with a remainder of 88.
Use 5 as the next digit of our solution. 
Result so far: 655.0
If we take 485 away from 573, we end up with 88.
Append the next digit (5) from the dividend to 88 and continue with: 885 / 97

Step 6:
97 goes into 885 9 times with a remainder of 12.
The next digit of our result is 9. 
Result so far: 6559.0
Subtract 873 from 885 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
120 divided by 97 is 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 6559.1
The remainder is 23 after subtracting 97 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
230 divided by 97 is 2 with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 6559.12
Subtract 194 from 230 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
97 goes into 360 3 times with a remainder of 69.
Record the quotient 3 as the next digit in the result. 
Result so far: 6559.123
Deduct 291 from 360 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 10:
If we divide 690 by 97, we get 7 and a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 6559.1237
If we take 679 away from 690, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 11:
When dividing 110 by 97, we get 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 6559.12371
If we take 97 away from 110, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 12:
If we divide 130 by 97, we get 1 and a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 6559.123711
The remainder is 33 after subtracting 97 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 6559.123711 with a remainder of 3.3e-06.