429127 ÷ 34 
Our goal is to divide 429127 by 34.

Going ahead to step 1:
If we divide 4 by 34, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 34

Going ahead to step 2:
When dividing 42 by 34, we get 1 with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 34 from 42, we get 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 34

On to step 3:
The number 34 fits into 89 2 times, leaving a remainder of 21.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 21 after subtracting 68 from 89.
Take the next digit (1) from the dividend and append it to 21, then repeat: 211 / 34

Step 4:
If we divide 211 by 34, we get 6 and a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 126.0
The remainder is 7 after subtracting 204 from 211.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 34

Moving on to step 5:
When dividing 72 by 34, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 1262.0
The remainder is 4 after subtracting 68 from 72.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 34

Let's proceed to step 6:
The number 34 fits into 47 1 times, leaving a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 12621.0
If we subtract 34 from 47, 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 7:
34 can be fit into 130 3 times, resulting in a remainder of 28.
Write down 3 as next digit of the result. 
Result so far: 12621.3
The remainder is 28 after subtracting 102 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
280 divided by 34 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 12621.38
If we subtract 272 from 280, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
If we divide 80 by 34, we get 2 and a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 12621.382
Subtracting 68 from 80 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.

Step 10:
If we divide 120 by 34, we get 3 and a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 12621.3823
Deduct 102 from 120 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 11:
34 goes into 180 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 12621.38235
Subtract 170 from 180 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
100 divided by 34 is 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 12621.382352
The remainder is 32 after subtracting 68 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 13:
34 goes into 320 9 times with a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 12621.3823529
Subtracting 306 from 320 leaves us with 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 14:
If we divide 140 by 34, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 12621.38235294
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 12621.38235294 with a remainder of 4e-09.