We're dividing 14102 by 13 
Let's see how many times 13 fits into 14102.

Step 1:
13 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 13

Advancing to step 2:
13 can be fit into 14 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 13 from 14 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 13

Moving on to step 3:
11 divided by 13 is 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 11, we end up with 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 13

Going ahead to step 4:
110 divided by 13 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 108.0
The remainder is 6 after subtracting 104 from 110.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 13

Step 5:
If we divide 62 by 13, we get 4 and a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 1084.0
If we take 52 away from 62, 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.

Moving on to step 6:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 1084.7
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.

Going ahead to step 7:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 1084.76
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.

Moving on to step 8:
If we divide 120 by 13, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 1084.769
If we take 117 away from 120, we end up 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.

Going ahead to step 9:
When dividing 30 by 13, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 1084.7692
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.

Step 10:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 1084.76923
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 11:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 1084.76923
Deduct 0 from 10 and we're left 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 12:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 1084.7692307
If we subtract 91 from 100, we 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.

Step 13:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 1084.76923076
Subtracting 78 from 90 leaves us 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.

The final outcome is 1084.76923076, with a leftover of 1.2e-08.