We look at the division of 427414 by 114 
Our goal is to divide 427414 by 114.

Advancing to step 1:
4 divided by 114 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 114

Advancing to step 2:
If we divide 42 by 114, we get 0 and a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Fetch the next digit (7) from the dividend, attach it to 42 and continue: 427 / 114

Step 3:
If we divide 427 by 114, we get 3 and a remainder of 85.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 342 from 427 and we're left with 85.
Grab the next digit (4) from the dividend, add it to 85, then carry on: 854 / 114

Let's proceed to step 4:
When dividing 854 by 114, we get 7 with a remainder of 56.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
If we take 798 away from 854, we end up with 56.
Include the next digit (1) from the dividend after 56, then repeat: 561 / 114

On to step 5:
114 goes into 561 4 times with a remainder of 105.
Write down 4 as next digit of the result. 
Result so far: 374.0
If we subtract 456 from 561, we get 105.
Fetch the next digit (4) from the dividend, attach it to 105 and continue: 1054 / 114

Moving on to step 6:
1054 divided by 114 is 9 with a remainder of 28.
Record the quotient 9 as the next digit in the result. 
Result so far: 3749.0
Deduct 1026 from 1054 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 7:
When dividing 280 by 114, we get 2 with a remainder of 52.
Put 2 as the next digit of the answer. 
Result so far: 3749.2
Subtract 228 from 280 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 8:
520 divided by 114 is 4 with a remainder of 64.
The number 4 becomes the next digit in our result. 
Result so far: 3749.24
The remainder is 64 after subtracting 456 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 9:
When dividing 640 by 114, we get 5 with a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 3749.245
If we subtract 570 from 640, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 10:
If we divide 700 by 114, we get 6 and a remainder of 16.
The next digit of our result is 6. 
Result so far: 3749.2456
If we take 684 away from 700, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
114 can be fit into 160 1 times, resulting in a remainder of 46.
The next digit of our result is 1. 
Result so far: 3749.24561
The remainder is 46 after subtracting 114 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 12:
114 goes into 460 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 3749.245614
Subtracting 456 from 460 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.

Advancing to step 13:
The number 114 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 3749.245614
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 14:
400 divided by 114 is 3 with a remainder of 58.
The next digit of our result is 3. 
Result so far: 3749.24561403
If we subtract 342 from 400, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Our division results in 3749.24561403 with a remaining 5.8e-08.