We look at the division of 14290 by 11 
We want to divide 14290 by 11.

Going ahead to step 1:
11 can be fit into 1 0 times, resulting in 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.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 11

Moving on to step 2:
11 goes into 14 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 11 from 14 to get 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 11

On to step 3:
11 goes into 32 2 times with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 22 away from 32, we end up with 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 11

On to step 4:
The number 11 fits into 109 9 times, leaving a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 129.0
If we subtract 99 from 109, we get 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 11

Let's proceed to step 5:
100 divided by 11 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 1299.0
Subtracting 99 from 100 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.

On to step 6:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 1299.0
The remainder is 10 after subtracting 0 from 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 7:
When dividing 100 by 11, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 1299.09
If we subtract 99 from 100, 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.

Step 8:
11 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 1299.09
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.

Going ahead to step 9:
11 goes into 100 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 1299.0909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
10 divided by 11 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 1299.0909
The remainder is 10 after subtracting 0 from 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 11:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 1299.090909
If we subtract 99 from 100, 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.

Going ahead to step 12:
11 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 1299.090909
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.

On to step 13:
11 can be fit into 100 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 1299.09090909
Deduct 99 from 100 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.

The quotient of the division is 1299.09090909, and the remainder is 1e-09.