We look at the division of 99825 by 13 
We're looking to find how many times 13 goes into 99825.

Moving on to step 1:
9 divided by 13 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 13

Moving on 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
The remainder is 8 after subtracting 91 from 99.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 13

Going ahead to step 3:
The number 13 fits into 88 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 76.0
Subtracting 78 from 88 leaves us with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 13

On to step 4:
13 goes into 102 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 767.0
Subtract 91 from 102 to get 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 13

On to step 5:
13 goes into 115 8 times with a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 7678.0
Subtract 104 from 115 to 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.

Moving on to step 6:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 7678.8
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing 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: 7678.84
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.

Let's proceed to step 8:
13 goes into 80 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 7678.846
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.

Moving on to step 9:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 7678.8461
If we take 13 away from 20, we end up 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 10:
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: 7678.84615
If we take 65 away from 70, we end up 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.

Step 11:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 7678.846153
Subtract 39 from 50 to 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 12:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 7678.8461538
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 13:
If we divide 60 by 13, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 7678.84615384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 7678.84615384 and a remainder of 8e-09.