We look at the division of 281419 by 14 
We want to figure out the number of times 281419 can be divided by 14.

Moving on to step 1:
14 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 14

Moving on to step 2:
When dividing 28 by 14, we get 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 28 from 28 to get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 14

Moving on to step 3:
14 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 20.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 14

On to step 4:
The number 14 fits into 14 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 201.0
The remainder is 0 after subtracting 14 from 14.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 14

Moving on to step 5:
When dividing 1 by 14, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 2010.0
If we subtract 0 from 1, we get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 14

On to step 6:
19 divided by 14 is 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 20101.0
Subtract 14 from 19 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
When dividing 50 by 14, we get 3 with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 20101.3
If we subtract 42 from 50, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
14 can be fit into 80 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 20101.35
Subtracting 70 from 80 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 9:
If we divide 100 by 14, we get 7 and a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 20101.357
Subtract 98 from 100 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
When dividing 20 by 14, we get 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 20101.3571
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
When dividing 60 by 14, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 20101.35714
If we take 56 away from 60, we end up 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.

Going ahead to step 12:
If we divide 40 by 14, we get 2 and a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 20101.357142
If we subtract 28 from 40, we 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 13:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 20101.3571428
Subtract 112 from 120 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
14 can be fit into 80 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 20101.35714285
If we take 70 away from 80, 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.

In conclusion, the division gives 20101.35714285 with a balance of 1e-08.