509400 ÷ 29 
Let's see how many times 29 fits into 509400.

Going ahead to step 1:
29 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 29

Let's proceed to step 2:
29 goes into 50 1 times with a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 29 away from 50, we end up with 21.
Bring next digit (9) of the dividend behind the 21 and repeat the process: 219 / 29

Moving on to step 3:
219 divided by 29 is 7 with a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we take 203 away from 219, we end up with 16.
Grab the next digit (4) from the dividend, add it to 16, then carry on: 164 / 29

Going ahead to step 4:
164 divided by 29 is 5 with a remainder of 19.
Write down 5 as next digit of the result. 
Result so far: 175.0
If we subtract 145 from 164, we get 19.
Bring next digit (0) of the dividend behind the 19 and repeat the process: 190 / 29

Let's proceed to step 5:
If we divide 190 by 29, we get 6 and a remainder of 16.
The next digit of our result is 6. 
Result so far: 1756.0
The remainder is 16 after subtracting 174 from 190.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 29

Let's proceed to step 6:
160 divided by 29 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 17565.0
Subtracting 145 from 160 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
150 divided by 29 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 17565.5
If we subtract 145 from 150, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
29 can be fit into 50 1 times, resulting in a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 17565.51
The remainder is 21 after subtracting 29 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 9:
If we divide 210 by 29, we get 7 and a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 17565.517
The remainder is 7 after subtracting 203 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 10:
29 goes into 70 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 17565.5172
Subtracting 58 from 70 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
29 can be fit into 120 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 17565.51724
If we take 116 away from 120, we end up 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.

Advancing to step 12:
40 divided by 29 is 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 17565.517241
Deduct 29 from 40 and we're left 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.

Let's proceed to step 13:
110 divided by 29 is 3 with a remainder of 23.
Put 3 as the next digit of the answer. 
Result so far: 17565.5172413
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.

Moving on to step 14:
29 can be fit into 230 7 times, resulting in a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 17565.51724137
If we subtract 203 from 230, we 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.

In conclusion, the division gives 17565.51724137 with a balance of 2.7e-08.