We're dividing 107699 by 13 
Our goal is to divide 107699 by 13.

Step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 13

On to step 2:
When dividing 10 by 13, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 13

Moving on to step 3:
The number 13 fits into 107 8 times, leaving a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 3 after subtracting 104 from 107.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 13

Moving on to step 4:
The number 13 fits into 36 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 82.0
Subtracting 26 from 36 leaves us with 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 13

Going ahead to step 5:
13 can be fit into 109 8 times, resulting in a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 828.0
If we take 104 away from 109, we end up with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 13

Step 6:
13 can be fit into 59 4 times, resulting in a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 8284.0
Deduct 52 from 59 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.

Going ahead to step 7:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 8284.5
Subtract 65 from 70 to 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.

On to step 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 8284.53
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.

Advancing to step 9:
If we divide 110 by 13, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 8284.538
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.

Moving on to step 10:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 8284.5384
Subtracting 52 from 60 leaves us 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.

Going ahead to step 11:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 8284.53846
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.

Let's proceed to step 12:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 8284.538461
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 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8284.5384615
Subtract 65 from 70 to 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.

On to step 14:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 8284.53846153
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.

The final result is 8284.53846153 with a remainder of 1.1e-08.