We look at the division of 638829 by 13 
Let's see how many times 13 fits into 638829.

Moving on to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 13

On to step 2:
13 can be fit into 63 4 times, resulting in a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 52 from 63, we get 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 13

Step 3:
When dividing 118 by 13, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
Subtract 117 from 118 to get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 13

Step 4:
13 can be fit into 18 1 times, resulting in a remainder of 5.
The next digit of our result is 1. 
Result so far: 491.0
Deduct 13 from 18 and we're left with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 13

Going ahead to step 5:
52 divided by 13 is 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 4914.0
Subtract 52 from 52 to get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 13

Let's proceed to step 6:
9 divided by 13 is 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 49140.0
Deduct 0 from 9 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 49140.6
Subtract 78 from 90 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.

Moving on to step 8:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 49140.69
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 9:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 49140.692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 49140.6923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 11:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 49140.6923
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 49140.692307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 49140.6923076
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 14:
13 goes into 120 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 49140.69230769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 49140.69230769 with a remainder of 3e-09.