We look at the division of 125584 by 14 
Our goal is to divide 125584 by 14.

Let's proceed to step 1:
14 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 14

Moving on to step 2:
14 goes into 12 0 times with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 14

Step 3:
14 goes into 125 8 times with a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 13 after subtracting 112 from 125.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 14

Step 4:
14 goes into 135 9 times with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 89.0
If we subtract 126 from 135, we get 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 14

Let's proceed to step 5:
14 can be fit into 98 7 times, resulting in a remainder of 0.
The next digit of our result is 7. 
Result so far: 897.0
If we take 98 away from 98, we end up with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 14

Moving on to step 6:
14 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 8970.0
The remainder is 4 after subtracting 0 from 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 7:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 8970.2
Deduct 28 from 40 and we're left 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.

On to step 8:
If we divide 120 by 14, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 8970.28
If we take 112 away from 120, we end up 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.

On to step 9:
14 goes into 80 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 8970.285
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.

Going ahead to step 10:
The number 14 fits into 100 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 8970.2857
The remainder is 2 after subtracting 98 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 8970.28571
Deduct 14 from 20 and we're left with 6.
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 12:
The number 14 fits into 60 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 8970.285714
Subtract 56 from 60 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.

Moving on to step 13:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 8970.2857142
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.

On to step 14:
If we divide 120 by 14, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 8970.28571428
If we take 112 away from 120, we end up 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.

After the division, we end up with 8970.28571428 and a remainder of 8e-09.