Let's divide 152305 by 14
We're looking to find how many times 14 goes into 152305.

On to step 1:
1 divided by 14 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 14

Let's proceed to step 2:
If we divide 15 by 14, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 14 away from 15, we end up with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 14

On to step 3:
If we divide 12 by 14, we get 0 and a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 12 after subtracting 0 from 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 14

Step 4:
The number 14 fits into 123 8 times, leaving a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 108.0
The remainder is 11 after subtracting 112 from 123.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 14

Going ahead to step 5:
14 can be fit into 110 7 times, resulting in a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 1087.0
If we subtract 98 from 110, we get 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 14

Going ahead to step 6:
14 can be fit into 125 8 times, resulting in a remainder of 13.
Put 8 as the next digit of the answer. 
Result so far: 10878.0
Subtracting 112 from 125 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
14 can be fit into 130 9 times, resulting in a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 10878.9
The remainder is 4 after subtracting 126 from 130.
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:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 10878.92
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 9:
120 divided by 14 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 10878.928
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.

Moving on to step 10:
14 goes into 80 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 10878.9285
If we subtract 70 from 80, we 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.

Going ahead to step 11:
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: 10878.92857
If we subtract 98 from 100, we 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.

Advancing to step 12:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 10878.928571
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
If we divide 60 by 14, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 10878.9285714
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.

Advancing to step 14:
40 divided by 14 is 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 10878.92857142
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.

After the division, we end up with 10878.92857142 and a remainder of 1.2e-08.