637508 ÷ 13 
Our goal is to divide 637508 by 13.

Advancing to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 13

Going ahead to step 2:
13 goes into 63 4 times with 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.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 13

On to step 3:
If we divide 117 by 13, we get 9 and a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 49.0
Subtracting 117 from 117 leaves us with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 13

Step 4:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 490.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 13

Step 5:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 4903.0
Deduct 39 from 50 and we're left with 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 13

On to step 6:
If we divide 118 by 13, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 49039.0
If we take 117 away from 118, 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 7:
If we divide 10 by 13, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 49039.0
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.

Going ahead to step 8:
If we divide 100 by 13, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 49039.07
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 49039.076
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.

Going ahead to step 10:
When dividing 120 by 13, we get 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 49039.0769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 11:
30 divided by 13 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 49039.07692
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.

Let's proceed to step 12:
40 divided by 13 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 49039.076923
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.

On to step 13:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 49039.076923
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.

Let's proceed to step 14:
13 goes into 100 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 49039.07692307
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.

The final outcome is 49039.07692307, with a leftover of 9e-09.