We divide 99965 by 13
Let's see how many times 13 fits into 99965.

Going ahead to step 1:
When dividing 9 by 13, we get 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 13

Going ahead to step 2:
When dividing 99 by 13, we get 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 91 away from 99, we end up with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 13

Moving on to step 3:
The number 13 fits into 89 6 times, leaving a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
The remainder is 11 after subtracting 78 from 89.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 13

Let's proceed to step 4:
13 can be fit into 116 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 768.0
The remainder is 12 after subtracting 104 from 116.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 13

Going ahead to step 5:
The number 13 fits into 125 9 times, leaving a remainder of 8.
The next digit of our result is 9. 
Result so far: 7689.0
Deduct 117 from 125 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 6:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 7689.6
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 7:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 7689.61
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 7689.615
Deduct 65 from 70 and we're left 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 9:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 7689.6153
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 10:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 7689.61538
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.

Moving on to step 11:
If we divide 60 by 13, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 7689.615384
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.

Advancing to step 12:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 7689.6153846
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.

Let's proceed to step 13:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 7689.61538461
If we subtract 13 from 20, we 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.

In conclusion, the division gives 7689.61538461 with a balance of 7e-09.