We're dividing 34329 by 4 
Our goal is to divide 34329 by 4.

On to step 1:
3 divided by 4 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 4

Step 2:
If we divide 34 by 4, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 32 away from 34, we end up with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 4

Going ahead to step 3:
The number 4 fits into 23 5 times, leaving a remainder of 3.
The next digit of our result is 5. 
Result so far: 85.0
If we subtract 20 from 23, we get 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 4

Moving on to step 4:
If we divide 32 by 4, we get 8 and a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 858.0
Subtracting 32 from 32 leaves us with 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 4

On to step 5:
9 divided by 4 is 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 8582.0
Subtract 8 from 9 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
The number 4 fits into 10 2 times, leaving a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 8582.2
Subtracting 8 from 10 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
4 can be fit into 20 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 8582.25
Deduct 20 from 20 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
4 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 8582.25
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
0 divided by 4 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 8582.25
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 8582.25 with a remainder of 0.0.