We're dividing 431319 by 71 
We want to figure out the number of times 431319 can be divided by 71.

Let's proceed to step 1:
The number 71 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
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

Moving on to step 2:
When dividing 43 by 71, we get 0 with a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Take the next digit (1) from the dividend and append it to 43, then repeat: 431 / 71

Advancing to step 3:
The number 71 fits into 431 6 times, leaving a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 426 from 431 and we're left with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 71

Going ahead to step 4:
71 goes into 53 0 times with a remainder of 53.
Write down 0 as next digit of the result. 
Result so far: 60.0
Subtract 0 from 53 to get 53.
Fetch the next digit (1) from the dividend, attach it to 53 and continue: 531 / 71

On to step 5:
71 can be fit into 531 7 times, resulting in a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 607.0
Deduct 497 from 531 and we're left with 34.
Bring next digit (9) of the dividend behind the 34 and repeat the process: 349 / 71

Going ahead to step 6:
When dividing 349 by 71, we get 4 with a remainder of 65.
Put 4 as the next digit of the answer. 
Result so far: 6074.0
If we take 284 away from 349, we end up 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.

Advancing to step 7:
If we divide 650 by 71, we get 9 and a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 6074.9
Deduct 639 from 650 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
When dividing 110 by 71, we get 1 with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 6074.91
Subtract 71 from 110 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 9:
71 can be fit into 390 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 6074.915
If we take 355 away from 390, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 10:
71 goes into 350 4 times with a remainder of 66.
Put 4 as the next digit of the answer. 
Result so far: 6074.9154
Subtracting 284 from 350 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 11:
660 divided by 71 is 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 6074.91549
Deduct 639 from 660 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 12:
When dividing 210 by 71, we get 2 with a remainder of 68.
The next digit of our result is 2. 
Result so far: 6074.915492
Subtract 142 from 210 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 13:
680 divided by 71 is 9 with a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 6074.9154929
If we subtract 639 from 680, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 14:
71 can be fit into 410 5 times, resulting in a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 6074.91549295
Deduct 355 from 410 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

In conclusion, the division gives 6074.91549295 with a balance of 5.5e-08.