We look at the division of 634636 by 55 
We're looking to find how many times 55 goes into 634636.

Going ahead to step 1:
6 divided by 55 is 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.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 55

Advancing to step 2:
55 goes into 63 1 times with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 55 away from 63, we end up with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 55

Going ahead to step 3:
When dividing 84 by 55, we get 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 55 away from 84, we end up with 29.
Include the next digit (6) from the dividend after 29, then repeat: 296 / 55

On to step 4:
55 can be fit into 296 5 times, resulting in a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 115.0
Subtract 275 from 296 to get 21.
Take the next digit (3) from the dividend and append it to 21, then repeat: 213 / 55

Advancing to step 5:
When dividing 213 by 55, we get 3 with a remainder of 48.
Use 3 as the next digit of our solution. 
Result so far: 1153.0
Deduct 165 from 213 and we're left with 48.
Fetch the next digit (6) from the dividend, attach it to 48 and continue: 486 / 55

On to step 6:
If we divide 486 by 55, we get 8 and a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 11538.0
Subtract 440 from 486 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 7:
When dividing 460 by 55, we get 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 11538.8
Deduct 440 from 460 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
The number 55 fits into 200 3 times, leaving a remainder of 35.
The next digit of our result is 3. 
Result so far: 11538.83
Deduct 165 from 200 and we're left with 35.
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 9:
55 can be fit into 350 6 times, resulting in a remainder of 20.
The next digit of our result is 6. 
Result so far: 11538.836
Subtracting 330 from 350 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
55 can be fit into 200 3 times, resulting in a remainder of 35.
The number 3 becomes the next digit in our result. 
Result so far: 11538.8363
Subtract 165 from 200 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 11:
If we divide 350 by 55, we get 6 and a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 11538.83636
If we take 330 away from 350, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 12:
55 goes into 200 3 times with a remainder of 35.
The number 3 becomes the next digit in our result. 
Result so far: 11538.836363
If we take 165 away from 200, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 13:
The number 55 fits into 350 6 times, leaving a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 11538.8363636
Subtracting 330 from 350 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 14:
55 can be fit into 200 3 times, resulting in a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 11538.83636363
Subtract 165 from 200 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 11538.83636363 with a remainder of 3.5e-08.