We look at the division of 512579 by 29 
We want to figure out the number of times 512579 can be divided by 29.

Step 1:
When dividing 5 by 29, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 29

Moving on to step 2:
51 divided by 29 is 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 29 from 51, we get 22.
Fetch the next digit (2) from the dividend, attach it to 22 and continue: 222 / 29

Moving on to step 3:
The number 29 fits into 222 7 times, leaving a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 203 from 222 and we're left with 19.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 29

On to step 4:
The number 29 fits into 195 6 times, leaving a remainder of 21.
Use 6 as the next digit of our solution. 
Result so far: 176.0
Subtract 174 from 195 to get 21.
Take the next digit (7) from the dividend and append it to 21, then repeat: 217 / 29

Going ahead to step 5:
If we divide 217 by 29, we get 7 and a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 1767.0
Subtract 203 from 217 to get 14.
Grab the next digit (9) from the dividend, add it to 14, then carry on: 149 / 29

Step 6:
When dividing 149 by 29, we get 5 with a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 17675.0
Subtract 145 from 149 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.

Let's proceed to step 7:
40 divided by 29 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 17675.1
If we take 29 away from 40, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
The number 29 fits into 110 3 times, leaving a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 17675.13
Deduct 87 from 110 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 9:
230 divided by 29 is 7 with a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 17675.137
Subtract 203 from 230 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 10:
29 can be fit into 270 9 times, resulting in a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 17675.1379
If we subtract 261 from 270, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 11:
90 divided by 29 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 17675.13793
If we subtract 87 from 90, 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.

Advancing to step 12:
The number 29 fits into 30 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 17675.137931
The remainder is 1 after subtracting 29 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 13:
When dividing 10 by 29, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 17675.137931
Subtracting 0 from 10 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.

On to step 14:
The number 29 fits into 100 3 times, leaving a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 17675.13793103
Deduct 87 from 100 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 17675.13793103 with a remaining 1.3e-08.