We're dividing 507279 by 14 
We want to figure out the number of times 507279 can be divided by 14.

Going ahead to step 1:
When dividing 5 by 14, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 14

Moving on to step 2:
When dividing 50 by 14, we get 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 42 from 50, we get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 14

On to step 3:
When dividing 87 by 14, we get 6 with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 36.0
Deduct 84 from 87 and we're left with 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 14

Let's proceed to step 4:
14 can be fit into 32 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 362.0
If we take 28 away from 32, we end up with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 14

On to step 5:
If we divide 47 by 14, we get 3 and a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 3623.0
Deduct 42 from 47 and we're left with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 14

Advancing to step 6:
59 divided by 14 is 4 with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 36234.0
If we subtract 56 from 59, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
14 can be fit into 30 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 36234.2
Deduct 28 from 30 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.

Going ahead to step 8:
If we divide 20 by 14, we get 1 and a remainder of 6.
The next digit of our result is 1. 
Result so far: 36234.21
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.

Going ahead to step 9:
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: 36234.214
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.

Step 10:
If we divide 40 by 14, we get 2 and a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 36234.2142
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 11:
14 goes into 120 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 36234.21428
If we take 112 away from 120, we end up 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.

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: 36234.214285
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.

Advancing to step 13:
14 goes into 100 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 36234.2142857
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.

Step 14:
14 goes into 20 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 36234.21428571
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.

The final outcome is 36234.21428571, with a leftover of 6e-09.