We look at the division of 638125 by 13 
We want to figure out the number of times 638125 can be divided by 13.

Advancing to step 1:
13 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 13

Let's proceed to step 2:
When dividing 63 by 13, we get 4 with a remainder of 11.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 52 from 63 to get 11.
Bring next digit (8) of the dividend behind the 11 and repeat the process: 118 / 13

Going ahead to step 3:
118 divided by 13 is 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 49.0
If we subtract 117 from 118, we get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 13

Advancing to step 4:
11 divided by 13 is 0 with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 490.0
Subtracting 0 from 11 leaves us with 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 13

Moving on to step 5:
If we divide 112 by 13, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 4908.0
The remainder is 8 after subtracting 104 from 112.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 13

Going ahead to step 6:
13 goes into 85 6 times with a remainder of 7.
Record the quotient 6 as the next digit in the result. 
Result so far: 49086.0
Subtract 78 from 85 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 49086.5
Deduct 65 from 70 and we're left 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:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 49086.53
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.

Let's proceed to 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: 49086.538
If we take 104 away from 110, we end up 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 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 49086.5384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
If we divide 80 by 13, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 49086.53846
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:
When dividing 20 by 13, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 49086.538461
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:
70 divided by 13 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 49086.5384615
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.
Use 3 as the next digit of our solution. 
Result so far: 49086.53846153
Deduct 39 from 50 and we're left 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.

Our division results in 49086.53846153 with a remaining 1.1e-08.