We look at the division of 434401 by 71 
We want to divide 434401 by 71.

Going ahead to step 1:
71 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 71

On to step 2:
The number 71 fits into 43 0 times, leaving a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Append the next digit (4) from the dividend to 43 and continue with: 434 / 71

Step 3:
434 divided by 71 is 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 426 from 434 leaves us with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 71

Step 4:
If we divide 84 by 71, we get 1 and a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 61.0
If we take 71 away from 84, we end up with 13.
Take the next digit (0) from the dividend and append it to 13, then repeat: 130 / 71

Step 5:
The number 71 fits into 130 1 times, leaving a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 611.0
If we subtract 71 from 130, we get 59.
Include the next digit (1) from the dividend after 59, then repeat: 591 / 71

Step 6:
When dividing 591 by 71, we get 8 with a remainder of 23.
The next digit of our result is 8. 
Result so far: 6118.0
Subtracting 568 from 591 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
When dividing 230 by 71, we get 3 with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 6118.3
If we subtract 213 from 230, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 8:
170 divided by 71 is 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 6118.32
Subtracting 142 from 170 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 9:
71 goes into 280 3 times with a remainder of 67.
Write down 3 as next digit of the result. 
Result so far: 6118.323
Subtract 213 from 280 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Going ahead to step 10:
If we divide 670 by 71, we get 9 and a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 6118.3239
The remainder is 31 after subtracting 639 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 11:
71 goes into 310 4 times with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 6118.32394
The remainder is 26 after subtracting 284 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 12:
71 goes into 260 3 times with a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 6118.323943
The remainder is 47 after subtracting 213 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 13:
The number 71 fits into 470 6 times, leaving a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 6118.3239436
Deduct 426 from 470 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 14:
If we divide 440 by 71, we get 6 and a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 6118.32394366
Deduct 426 from 440 and we're left 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.

In conclusion, the division gives 6118.32394366 with a balance of 1.4e-08.