We divide 434372 by 29
We want to figure out the number of times 434372 can be divided by 29.

Going ahead to step 1:
4 divided by 29 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 29

Going ahead to step 2:
If we divide 43 by 29, we get 1 and a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 29 from 43 and we're left with 14.
Bring next digit (4) of the dividend behind the 14 and repeat the process: 144 / 29

Step 3:
29 goes into 144 4 times with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 14.0
The remainder is 28 after subtracting 116 from 144.
Take the next digit (3) from the dividend and append it to 28, then repeat: 283 / 29

Advancing to step 4:
283 divided by 29 is 9 with a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 149.0
If we subtract 261 from 283, we get 22.
Bring next digit (7) of the dividend behind the 22 and repeat the process: 227 / 29

On to step 5:
29 can be fit into 227 7 times, resulting in a remainder of 24.
Record the quotient 7 as the next digit in the result. 
Result so far: 1497.0
If we subtract 203 from 227, we get 24.
Bring next digit (2) of the dividend behind the 24 and repeat the process: 242 / 29

Let's proceed to step 6:
29 goes into 242 8 times with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 14978.0
The remainder is 10 after subtracting 232 from 242.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
If we divide 100 by 29, we get 3 and a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 14978.3
If we subtract 87 from 100, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 8:
29 can be fit into 130 4 times, resulting in a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 14978.34
If we subtract 116 from 130, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
When dividing 140 by 29, we get 4 with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 14978.344
Subtracting 116 from 140 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 14978.344 and a remainder of 0.0024.