We're dividing 99601 by 13 
We want to figure out the number of times 99601 can be divided by 13.

Moving on to step 1:
13 can be fit into 9 0 times, resulting in a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 13

On to step 2:
When dividing 99 by 13, we get 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 91 from 99, we get 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 13

On to step 3:
The number 13 fits into 86 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 76.0
The remainder is 8 after subtracting 78 from 86.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 13

Advancing to step 4:
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: 766.0
Deduct 78 from 80 and we're left with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 13

Moving on to step 5:
If we divide 21 by 13, we get 1 and a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 7661.0
Deduct 13 from 21 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:
If we divide 80 by 13, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 7661.6
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.

Advancing to step 7:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 7661.61
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.

Moving on to step 8:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 7661.615
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.

Going ahead to step 9:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 7661.6153
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.

On to step 10:
When dividing 110 by 13, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 7661.61538
Deduct 104 from 110 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 11:
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: 7661.615384
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.

Let's proceed to step 12:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 7661.6153846
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.

Let's proceed to step 13:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 7661.61538461
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.

The final outcome is 7661.61538461, with a leftover of 7e-09.