We're dividing 141413 by 13 
We want to divide 141413 by 13.

Going ahead to step 1:
The number 13 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 13

Let's proceed to step 2:
When dividing 14 by 13, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 1 after subtracting 13 from 14.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 13

Advancing to step 3:
When dividing 11 by 13, we get 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 11 after subtracting 0 from 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 13

On to step 4:
When dividing 114 by 13, we get 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 108.0
The remainder is 10 after subtracting 104 from 114.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 13

Moving on to step 5:
13 goes into 101 7 times with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 1087.0
If we take 91 away from 101, we end up with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 13

Going ahead to step 6:
13 goes into 103 7 times with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 10877.0
Subtract 91 from 103 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.

Step 7:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 10877.9
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 8:
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: 10877.92
If we subtract 26 from 30, 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.

Step 9:
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: 10877.923
Deduct 39 from 40 and we're left 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.

Moving on to step 10:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 10877.923
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.

Let's proceed to step 11:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 10877.92307
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.

Let's proceed to step 12:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 10877.923076
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.

Let's proceed to step 13:
120 divided by 13 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 10877.9230769
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.

Let's proceed to step 14:
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: 10877.92307692
If we subtract 26 from 30, 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.

The final outcome is 10877.92307692, with a leftover of 4e-09.