514308 ÷ 29 
We're looking to find how many times 29 goes into 514308.

Let's proceed to step 1:
29 can be fit into 5 0 times, resulting in 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.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 29

Advancing to step 2:
When dividing 51 by 29, we get 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 22 after subtracting 29 from 51.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 29

Let's proceed to step 3:
224 divided by 29 is 7 with a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtract 203 from 224 to get 21.
Include the next digit (3) from the dividend after 21, then repeat: 213 / 29

On to step 4:
The number 29 fits into 213 7 times, leaving a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 177.0
The remainder is 10 after subtracting 203 from 213.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 29

Let's proceed to step 5:
29 can be fit into 100 3 times, resulting in a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 1773.0
If we subtract 87 from 100, we get 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 29

Step 6:
138 divided by 29 is 4 with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 17734.0
Subtracting 116 from 138 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
When dividing 220 by 29, we get 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 17734.7
If we take 203 away from 220, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 8:
When dividing 170 by 29, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 17734.75
Deduct 145 from 170 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
The number 29 fits into 250 8 times, leaving a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 17734.758
If we take 232 away from 250, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 10:
29 can be fit into 180 6 times, resulting in a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 17734.7586
Deduct 174 from 180 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.

Advancing to step 11:
60 divided by 29 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 17734.75862
The remainder is 2 after subtracting 58 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
29 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 17734.75862
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
When dividing 200 by 29, we get 6 with a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 17734.7586206
Subtracting 174 from 200 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 14:
29 can be fit into 260 8 times, resulting in a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 17734.75862068
Subtracting 232 from 260 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 17734.75862068 with a remainder of 2.8e-08.