434429 ÷ 71 
We want to divide 434429 by 71.

Let's proceed to step 1:
4 divided by 71 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 71

Step 2:
71 can be fit into 43 0 times, resulting in a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Take the next digit (4) from the dividend and append it to 43, then repeat: 434 / 71

Let's proceed to step 3:
When dividing 434 by 71, we get 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 8 after subtracting 426 from 434.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 71

Going ahead to step 4:
If we divide 84 by 71, we get 1 and a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Deduct 71 from 84 and we're left with 13.
Include the next digit (2) from the dividend after 13, then repeat: 132 / 71

Let's proceed to step 5:
71 can be fit into 132 1 times, resulting in a remainder of 61.
Use 1 as the next digit of our solution. 
Result so far: 611.0
Deduct 71 from 132 and we're left with 61.
Bring next digit (9) of the dividend behind the 61 and repeat the process: 619 / 71

Advancing to step 6:
The number 71 fits into 619 8 times, leaving a remainder of 51.
The next digit of our result is 8. 
Result so far: 6118.0
If we subtract 568 from 619, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 7:
When dividing 510 by 71, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 6118.7
If we subtract 497 from 510, 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.

Going ahead to step 8:
71 can be fit into 130 1 times, resulting in a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 6118.71
Subtracting 71 from 130 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 9:
If we divide 590 by 71, we get 8 and a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 6118.718
If we subtract 568 from 590, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 10:
71 can be fit into 220 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 6118.7183
The remainder is 7 after subtracting 213 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
71 goes into 70 0 times with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 6118.7183
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 12:
71 can be fit into 700 9 times, resulting in a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 6118.718309
Subtract 639 from 700 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 13:
71 can be fit into 610 8 times, resulting in a remainder of 42.
The next digit of our result is 8. 
Result so far: 6118.7183098
If we subtract 568 from 610, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 14:
71 goes into 420 5 times with a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 6118.71830985
Deduct 355 from 420 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final outcome is 6118.71830985, with a leftover of 6.5e-08.