We divide 636607 by 13
We want to divide 636607 by 13.

Step 1:
When dividing 6 by 13, we get 0 with 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.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 13

Moving on to step 2:
13 goes into 63 4 times with a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 52 from 63 leaves us with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 13

Advancing to step 3:
If we divide 116 by 13, we get 8 and a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 48.0
Subtracting 104 from 116 leaves us with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 13

Moving on to step 4:
13 goes into 126 9 times with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 489.0
Subtract 117 from 126 to get 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 13

Advancing to step 5:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 4896.0
If we subtract 78 from 90, we get 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 13

On to step 6:
13 can be fit into 127 9 times, resulting in a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 48969.0
Subtracting 117 from 127 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 7:
100 divided by 13 is 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 48969.7
Subtracting 91 from 100 leaves us 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.

Let's proceed to step 8:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 48969.76
If we subtract 78 from 90, we 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.

On to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 48969.769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 48969.7692
Subtracting 26 from 30 leaves us 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 11:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 48969.76923
If we take 39 away from 40, we end up 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 12:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 48969.76923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 48969.7692307
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.

On to step 14:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 48969.76923076
Subtracting 78 from 90 leaves us 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.

The final outcome is 48969.76923076, with a leftover of 1.2e-08.