We're dividing 205824 by 14 
We're looking to find how many times 14 goes into 205824.

Step 1:
If we divide 2 by 14, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 14

Advancing to step 2:
20 divided by 14 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 14 away from 20, we end up with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 14

Advancing to step 3:
The number 14 fits into 65 4 times, leaving a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we take 56 away from 65, we end up with 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 14

Let's proceed to step 4:
The number 14 fits into 98 7 times, leaving a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 147.0
If we take 98 away from 98, we end up with 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 14

Let's proceed to step 5:
14 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 1470.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 14

On to step 6:
If we divide 24 by 14, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 14701.0
Subtract 14 from 24 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.

Advancing to step 7:
100 divided by 14 is 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 14701.7
Deduct 98 from 100 and we're left 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 8:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 14701.71
Subtract 14 from 20 to 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.

Advancing to step 9:
14 goes into 60 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 14701.714
The remainder is 4 after subtracting 56 from 60.
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 10:
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: 14701.7142
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.

Moving on to step 11:
When dividing 120 by 14, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 14701.71428
Subtract 112 from 120 to get 8.
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 12:
80 divided by 14 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 14701.714285
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.

Advancing to step 13:
When dividing 100 by 14, we get 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 14701.7142857
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.

Let's proceed to step 14:
If we divide 20 by 14, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 14701.71428571
Subtracting 14 from 20 leaves us 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.

The final outcome is 14701.71428571, with a leftover of 6e-09.