343129 ÷ 4 
We want to divide 343129 by 4.

Moving on to step 1:
4 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
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:
When dividing 34 by 4, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 32 away from 34, we end up with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 4

Moving on to step 3:
4 goes into 23 5 times with a remainder of 3.
The next digit of our result is 5. 
Result so far: 85.0
Subtracting 20 from 23 leaves us with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 4

Let's proceed to step 4:
4 goes into 31 7 times with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 857.0
If we subtract 28 from 31, we get 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 4

Going ahead to step 5:
4 goes into 32 8 times with a remainder of 0.
The next digit of our result is 8. 
Result so far: 8578.0
Deduct 32 from 32 and we're left with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 4

Step 6:
4 goes into 9 2 times with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 85782.0
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.

Step 7:
4 can be fit into 10 2 times, resulting in a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 85782.2
Subtract 8 from 10 to get 2.
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 8:
When dividing 20 by 4, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 85782.25
If we take 20 away from 20, we end up 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.

Advancing to step 9:
4 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 85782.25
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
4 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 85782.25
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.

In conclusion, the division gives 85782.25 with a balance of 0.0.