197825 divided by 13 
Our goal is to divide 197825 by 13.

Going ahead to step 1:
If we divide 1 by 13, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 13

Let's proceed to step 2:
13 goes into 19 1 times with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 13 from 19 leaves us with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 13

Let's proceed to step 3:
When dividing 67 by 13, we get 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 65 away from 67, we end up with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 13

On to step 4:
13 goes into 28 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 152.0
If we take 26 away from 28, we end up with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 13

Let's proceed to step 5:
The number 13 fits into 22 1 times, leaving a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1521.0
The remainder is 9 after subtracting 13 from 22.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 13

Advancing to step 6:
13 goes into 95 7 times with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 15217.0
If we subtract 91 from 95, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
40 divided by 13 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 15217.3
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
13 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 15217.3
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 15217.307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 10:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 15217.3076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 15217.30769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 12:
When dividing 30 by 13, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 15217.307692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 15217.3076923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 14:
When dividing 10 by 13, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 15217.3076923
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 15217.3076923 with a remaining 1e-08.