We're dividing 15325 by 14 
Our goal is to divide 15325 by 14.

Let's proceed to step 1:
If we divide 1 by 14, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 14

Let's proceed to step 2:
14 goes into 15 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 14 from 15 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 14

On to step 3:
13 divided by 14 is 0 with a remainder of 13.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 13 to get 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 14

Let's proceed to step 4:
If we divide 132 by 14, we get 9 and a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 109.0
If we subtract 126 from 132, we get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 14

Moving on to step 5:
14 can be fit into 65 4 times, resulting in a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 1094.0
If we subtract 56 from 65, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 6:
14 goes into 90 6 times with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 1094.6
If we take 84 away from 90, we end up 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.

Step 7:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 1094.64
If we subtract 56 from 60, we 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.

Advancing to step 8:
40 divided by 14 is 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 1094.642
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.

Advancing to step 9:
When dividing 120 by 14, we get 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 1094.6428
Deduct 112 from 120 and we're left 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.

Advancing to step 10:
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: 1094.64285
Subtract 70 from 80 to get 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 11:
14 can be fit into 100 7 times, resulting in a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 1094.642857
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.

Let's proceed to step 12:
14 goes into 20 1 times with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1094.6428571
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.

Moving on to step 13:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 1094.64285714
Subtracting 56 from 60 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.

Our division results in 1094.64285714 with a remaining 4e-09.