Let's divide 205003 by 14
Our goal is to divide 205003 by 14.

Let's proceed to step 1:
When dividing 2 by 14, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 14

Advancing to step 2:
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: 1.0
Subtract 14 from 20 to get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 14

Going ahead to step 3:
65 divided by 14 is 4 with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Deduct 56 from 65 and we're left with 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 14

On to step 4:
The number 14 fits into 90 6 times, leaving a remainder of 6.
The next digit of our result is 6. 
Result so far: 146.0
If we take 84 away from 90, we end up with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 14

Going ahead to step 5:
60 divided by 14 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 1464.0
Deduct 56 from 60 and we're left with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 14

On to step 6:
The number 14 fits into 43 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 14643.0
The remainder is 1 after subtracting 42 from 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
When dividing 10 by 14, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 14643.0
Subtract 0 from 10 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.

Let's proceed to step 8:
The number 14 fits into 100 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 14643.07
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 9:
The number 14 fits into 20 1 times, leaving a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 14643.071
If we take 14 away from 20, 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.

Let's proceed to step 10:
If we divide 60 by 14, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 14643.0714
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.

Going ahead to step 11:
14 goes into 40 2 times with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 14643.07142
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.

Step 12:
The number 14 fits into 120 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 14643.071428
Subtracting 112 from 120 leaves us 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.

Step 13:
14 can be fit into 80 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 14643.0714285
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.

Going ahead to step 14:
14 goes into 100 7 times with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 14643.07142857
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.

After the division, we end up with 14643.07142857 and a remainder of 2e-09.