We're dividing 414840 by 28 
We're looking to find how many times 28 goes into 414840.

Let's proceed to step 1:
28 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 28

Moving on to step 2:
28 can be fit into 41 1 times, resulting in a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 28 away from 41, we end up with 13.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 28

Moving on to step 3:
When dividing 134 by 28, we get 4 with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
The remainder is 22 after subtracting 112 from 134.
Bring next digit (8) of the dividend behind the 22 and repeat the process: 228 / 28

Advancing to step 4:
If we divide 228 by 28, we get 8 and a remainder of 4.
The next digit of our result is 8. 
Result so far: 148.0
The remainder is 4 after subtracting 224 from 228.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 28

Step 5:
28 goes into 44 1 times with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1481.0
Subtracting 28 from 44 leaves us with 16.
Include the next digit (0) from the dividend after 16, then repeat: 160 / 28

Let's proceed to step 6:
28 goes into 160 5 times with a remainder of 20.
The next digit of our result is 5. 
Result so far: 14815.0
The remainder is 20 after subtracting 140 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
If we divide 200 by 28, we get 7 and a remainder of 4.
The next digit of our result is 7. 
Result so far: 14815.7
Deduct 196 from 200 and we're left 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 8:
The number 28 fits into 40 1 times, leaving a remainder of 12.
The next digit of our result is 1. 
Result so far: 14815.71
Subtract 28 from 40 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.

Going ahead to step 9:
If we divide 120 by 28, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 14815.714
Subtracting 112 from 120 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
If we divide 80 by 28, we get 2 and a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 14815.7142
Subtracting 56 from 80 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 11:
28 goes into 240 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 14815.71428
If we subtract 224 from 240, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 12:
When dividing 160 by 28, we get 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 14815.714285
Deduct 140 from 160 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
When dividing 200 by 28, we get 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 14815.7142857
Subtract 196 from 200 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 14:
28 goes into 40 1 times with a remainder of 12.
The next digit of our result is 1. 
Result so far: 14815.71428571
If we take 28 away from 40, we end up 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 result is 14815.71428571 with a remainder of 1.2e-08.