We're dividing 635356 by 13 
We want to figure out the number of times 635356 can be divided by 13.

Advancing to step 1:
13 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 13

Step 2:
13 can be fit into 63 4 times, resulting in a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 52 from 63 to get 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 13

Going ahead to step 3:
The number 13 fits into 115 8 times, leaving a remainder of 11.
Use 8 as the next digit of our solution. 
Result so far: 48.0
Subtracting 104 from 115 leaves us with 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 13

Advancing to step 4:
113 divided by 13 is 8 with a remainder of 9.
The next digit of our result is 8. 
Result so far: 488.0
Deduct 104 from 113 and we're left with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 13

Step 5:
The number 13 fits into 95 7 times, leaving a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 4887.0
If we take 91 away from 95, we end up with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Let's proceed to step 6:
13 can be fit into 46 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 48873.0
If we take 39 away from 46, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 48873.5
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 48873.53
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 48873.538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 48873.5384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 48873.53846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 48873.538461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 48873.5384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 14:
13 goes into 50 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 48873.53846153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 48873.53846153 with a remaining 1.1e-08.