Let's divide 191643 by 13
Our goal is to divide 191643 by 13.

Let's proceed to step 1:
13 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 13

Advancing to step 2:
The number 13 fits into 19 1 times, leaving a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 13 away from 19, we end up with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 13

Moving on to step 3:
When dividing 61 by 13, we get 4 with a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 14.0
The remainder is 9 after subtracting 52 from 61.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 13

Step 4:
When dividing 96 by 13, we get 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 147.0
Subtract 91 from 96 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 13

Going ahead to step 5:
54 divided by 13 is 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 1474.0
Subtracting 52 from 54 leaves us with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 13

Moving on to step 6:
13 goes into 23 1 times with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 14741.0
Subtract 13 from 23 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.

Step 7:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 14741.7
Subtract 91 from 100 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.

Let's proceed to step 8:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 14741.76
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.

Let's proceed to step 9:
13 goes into 120 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 14741.769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 14741.7692
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.

Moving on to step 11:
When dividing 40 by 13, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 14741.76923
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.

Advancing to step 12:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 14741.76923
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.

Moving on to step 13:
If we divide 100 by 13, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 14741.7692307
Subtracting 91 from 100 leaves us 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.

Step 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 14741.76923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 14741.76923076 with a remaining 1.2e-08.