277724 ÷ 14 
We're looking to find how many times 14 goes into 277724.

Going ahead to step 1:
14 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 14

Step 2:
14 goes into 27 1 times with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 14 from 27, we get 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 14

Moving on to step 3:
14 can be fit into 137 9 times, resulting in a remainder of 11.
The next digit of our result is 9. 
Result so far: 19.0
If we take 126 away from 137, we end up with 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 14

Moving on to step 4:
The number 14 fits into 117 8 times, leaving a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 198.0
If we take 112 away from 117, we end up with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 14

Let's proceed to step 5:
14 goes into 52 3 times with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 1983.0
If we subtract 42 from 52, we get 10.
Take the next digit (4) from the dividend and append it to 10, then repeat: 104 / 14

Moving on to step 6:
14 goes into 104 7 times with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 19837.0
The remainder is 6 after subtracting 98 from 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 19837.4
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.

Going ahead to step 8:
14 can be fit into 40 2 times, resulting in a remainder of 12.
The next digit of our result is 2. 
Result so far: 19837.42
Subtract 28 from 40 to 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:
14 can be fit into 120 8 times, resulting in a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 19837.428
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.

On to step 10:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 19837.4285
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.

Step 11:
The number 14 fits into 100 7 times, leaving a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 19837.42857
Subtract 98 from 100 to 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.

Going ahead to step 12:
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: 19837.428571
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.

Going ahead to step 13:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 19837.4285714
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.

Going ahead to step 14:
40 divided by 14 is 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 19837.42857142
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.

Our division results in 19837.42857142 with a remaining 1.2e-08.