517744 ÷ 14 
We want to figure out the number of times 517744 can be divided by 14.

Step 1:
14 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 14

Moving on to step 2:
The number 14 fits into 51 3 times, leaving a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 42 from 51, we get 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 14

Step 3:
The number 14 fits into 97 6 times, leaving a remainder of 13.
The next digit of our result is 6. 
Result so far: 36.0
If we take 84 away from 97, we end up with 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 14

Let's proceed to step 4:
If we divide 137 by 14, we get 9 and a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 369.0
Subtracting 126 from 137 leaves us with 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 14

Advancing to step 5:
14 goes into 114 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 3698.0
The remainder is 2 after subtracting 112 from 114.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 14

Moving on to step 6:
The number 14 fits into 24 1 times, leaving a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 36981.0
The remainder is 10 after subtracting 14 from 24.
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:
The number 14 fits into 100 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 36981.7
Subtracting 98 from 100 leaves us 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.

On to step 8:
20 divided by 14 is 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 36981.71
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 9:
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: 36981.714
Deduct 56 from 60 and we're left 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.

Going ahead to step 10:
If we divide 40 by 14, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 36981.7142
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.

Let's proceed to step 11:
The number 14 fits into 120 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 36981.71428
If we subtract 112 from 120, we 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:
When dividing 80 by 14, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 36981.714285
Deduct 70 from 80 and we're left 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.

On to step 13:
The number 14 fits into 100 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 36981.7142857
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.

Advancing to step 14:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 36981.71428571
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.

The quotient of the division is 36981.71428571, and the remainder is 6e-09.