Let's divide 12119 by 13
Our goal is to divide 12119 by 13.

Advancing to step 1:
13 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 13

Moving on to step 2:
12 divided by 13 is 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 13

Advancing to step 3:
If we divide 121 by 13, we get 9 and a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtracting 117 from 121 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 13

Going ahead to step 4:
41 divided by 13 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 93.0
Subtracting 39 from 41 leaves us with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 13

Going ahead to step 5:
13 can be fit into 29 2 times, resulting in a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 932.0
The remainder is 3 after subtracting 26 from 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 6:
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: 932.2
Subtract 26 from 30 to 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.

Let's proceed to step 7:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 932.23
If we take 39 away from 40, we end up 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.

Going ahead to step 8:
10 divided by 13 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 932.23
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.

On to step 9:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 932.2307
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.

Moving on to step 10:
13 goes into 90 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 932.23076
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.

On to step 11:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 932.230769
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.

On to step 12:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 932.2307692
Subtract 26 from 30 to 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 13:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 932.23076923
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.

Our division results in 932.23076923 with a remaining 1e-09.