510580 ÷ 14 
We want to divide 510580 by 14.

Advancing to step 1:
14 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 14

Let's proceed to step 2:
If we divide 51 by 14, we get 3 and a remainder of 9.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 9 after subtracting 42 from 51.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 14

Going ahead to step 3:
The number 14 fits into 90 6 times, leaving a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
If we subtract 84 from 90, we get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 14

Moving on to step 4:
When dividing 65 by 14, we get 4 with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 364.0
Subtracting 56 from 65 leaves us with 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 14

Step 5:
14 goes into 98 7 times with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 3647.0
The remainder is 0 after subtracting 98 from 98.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 14

Let's proceed to step 6:
When dividing 0 by 14, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 36470.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
14 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 36470.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
If we divide 0 by 14, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 36470.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 36470.0 with a balance of 0.0.