We're dividing 114628 by 14 
Let's see how many times 14 fits into 114628.

Moving on to step 1:
14 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 14

Let's proceed to step 2:
14 goes into 11 0 times with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 14

Moving on to step 3:
When dividing 114 by 14, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 112 from 114, we get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 14

Advancing to step 4:
14 goes into 26 1 times with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
Subtract 14 from 26 to get 12.
Include the next digit (2) from the dividend after 12, then repeat: 122 / 14

Step 5:
The number 14 fits into 122 8 times, leaving a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 818.0
Deduct 112 from 122 and we're left with 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 14

Going ahead to step 6:
108 divided by 14 is 7 with a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 8187.0
Subtracting 98 from 108 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.

Advancing to step 7:
When dividing 100 by 14, we get 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 8187.7
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.

Step 8:
If we divide 20 by 14, we get 1 and a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 8187.71
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
If we divide 60 by 14, we get 4 and a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 8187.714
Deduct 56 from 60 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.

Going ahead to step 10:
If we divide 40 by 14, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 8187.7142
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
120 divided by 14 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 8187.71428
The remainder is 8 after subtracting 112 from 120.
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 12:
80 divided by 14 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 8187.714285
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.

Let's proceed to step 13:
When dividing 100 by 14, we get 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 8187.7142857
If we take 98 away from 100, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 14:
The number 14 fits into 20 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 8187.71428571
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final outcome is 8187.71428571, with a leftover of 6e-09.