We look at the division of 635958 by 13 
We want to divide 635958 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
Subtract 0 from 6 to get 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 13

Moving on to step 2:
If we divide 63 by 13, we get 4 and a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 52 from 63 to get 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 13

Going ahead to step 3:
13 can be fit into 115 8 times, resulting in a remainder of 11.
The next digit of our result is 8. 
Result so far: 48.0
Subtracting 104 from 115 leaves us with 11.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 13

Moving on to step 4:
The number 13 fits into 119 9 times, leaving a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 489.0
The remainder is 2 after subtracting 117 from 119.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 13

Let's proceed to step 5:
13 goes into 25 1 times with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 4891.0
If we subtract 13 from 25, we get 12.
Take the next digit (8) from the dividend and append it to 12, then repeat: 128 / 13

On to step 6:
128 divided by 13 is 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 48919.0
If we subtract 117 from 128, 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.

Going ahead to step 7:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 48919.8
Subtracting 104 from 110 leaves us 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.

Let's proceed to step 8:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 48919.84
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 48919.846
Deduct 78 from 80 and we're left 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 10:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 48919.8461
Subtract 13 from 20 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.

Advancing to step 11:
13 goes into 70 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 48919.84615
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 12:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 48919.846153
Subtracting 39 from 50 leaves us 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.

Step 13:
When dividing 110 by 13, we get 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 48919.8461538
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.

Let's proceed to step 14:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 48919.84615384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 48919.84615384, and the remainder is 8e-09.