199741 divided by 13 
Our goal is to divide 199741 by 13.

Going ahead to step 1:
1 divided by 13 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 13

On to step 2:
13 can be fit into 19 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 13 from 19 leaves us with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 13

Let's proceed to step 3:
The number 13 fits into 69 5 times, leaving a remainder of 4.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 65 from 69, we get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 13

On to step 4:
13 can be fit into 47 3 times, resulting in a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 153.0
If we subtract 39 from 47, we get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 13

Advancing to step 5:
13 can be fit into 84 6 times, resulting in a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 1536.0
Subtracting 78 from 84 leaves us with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 13

Advancing to step 6:
13 goes into 61 4 times with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 15364.0
Subtract 52 from 61 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 15364.6
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.

Moving on to step 8:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 15364.69
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 9:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 15364.692
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.

Advancing to step 10:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 15364.6923
Subtract 39 from 40 to 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.

Going ahead to step 11:
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: 15364.6923
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 15364.692307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 13:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 15364.6923076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 14:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 15364.69230769
Subtracting 117 from 120 leaves us 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.

After the division, we end up with 15364.69230769 and a remainder of 3e-09.