635993 divided by 13 
Our goal is to divide 635993 by 13.

Going ahead to step 1:
The number 13 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
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

Going ahead to step 2:
13 goes into 63 4 times with a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 52 from 63 leaves us with 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 13

Moving on to step 3:
When dividing 115 by 13, we get 8 with a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 48.0
The remainder is 11 after subtracting 104 from 115.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 13

Going ahead to step 4:
119 divided by 13 is 9 with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 489.0
If we take 117 away from 119, we end up with 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 13

On to step 5:
The number 13 fits into 29 2 times, leaving a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 4892.0
If we take 26 away from 29, we end up with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 13

Let's proceed to step 6:
The number 13 fits into 33 2 times, leaving a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 48922.0
Deduct 26 from 33 and we're left 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.

Moving on to step 7:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 48922.5
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.

Let's proceed to step 8:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 48922.53
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.

On to step 9:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 48922.538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 48922.5384
Deduct 52 from 60 and we're left 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.

Moving on to step 11:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 48922.53846
Subtracting 78 from 80 leaves us 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.

On 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: 48922.538461
Deduct 13 from 20 and we're left 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 13:
If we divide 70 by 13, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 48922.5384615
Subtracting 65 from 70 leaves us 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.

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: 48922.53846153
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.

In conclusion, the division gives 48922.53846153 with a balance of 1.1e-08.