We're dividing 434319 by 34 
We want to figure out the number of times 434319 can be divided by 34.

Step 1:
34 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 34

Let's proceed to step 2:
34 can be fit into 43 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 34 away from 43, we end up with 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 34

Going ahead to step 3:
When dividing 94 by 34, we get 2 with a remainder of 26.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 68 from 94 leaves us with 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 34

On to step 4:
263 divided by 34 is 7 with a remainder of 25.
Use 7 as the next digit of our solution. 
Result so far: 127.0
If we subtract 238 from 263, we get 25.
Append the next digit (1) from the dividend to 25 and continue with: 251 / 34

Advancing to step 5:
251 divided by 34 is 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 1277.0
The remainder is 13 after subtracting 238 from 251.
Append the next digit (9) from the dividend to 13 and continue with: 139 / 34

Advancing to step 6:
34 goes into 139 4 times with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 12774.0
If we subtract 136 from 139, 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 7:
30 divided by 34 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 12774.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
34 goes into 300 8 times with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 12774.08
If we subtract 272 from 300, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 9:
34 can be fit into 280 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 12774.088
Subtracting 272 from 280 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 12774.088 with a remaining 0.0008.