Let's divide 636681 by 13
We're looking to find how many times 13 goes into 636681.

On to step 1:
13 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 13

Moving on to step 2:
13 can be fit into 63 4 times, resulting in a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 52 from 63 and we're left with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 13

Let's proceed to step 3:
13 goes into 116 8 times with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 48.0
If we subtract 104 from 116, we get 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 13

Advancing to step 4:
13 can be fit into 126 9 times, resulting in a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 489.0
If we subtract 117 from 126, we get 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 13

Going ahead to step 5:
13 goes into 98 7 times with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 4897.0
Subtracting 91 from 98 leaves us with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 13

Going ahead to step 6:
13 goes into 71 5 times with a remainder of 6.
The next digit of our result is 5. 
Result so far: 48975.0
Deduct 65 from 71 and we're left 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 7:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 48975.4
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.

Step 8:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 48975.46
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 48975.461
Subtracting 13 from 20 leaves us 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 10:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 48975.4615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 11:
If we divide 50 by 13, we get 3 and a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 48975.46153
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.

Let's proceed to step 12:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 48975.461538
If we subtract 104 from 110, we 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 13:
13 goes into 60 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 48975.4615384
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.

Advancing to step 14:
When dividing 80 by 13, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 48975.46153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 48975.46153846, with a leftover of 2e-09.