We're dividing 395878 by 71 
We want to divide 395878 by 71.

Step 1:
71 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 71

Let's proceed to step 2:
If we divide 39 by 71, we get 0 and a remainder of 39.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 39, we get 39.
Append the next digit (5) from the dividend to 39 and continue with: 395 / 71

Advancing to step 3:
When dividing 395 by 71, we get 5 with a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 355 from 395 and we're left with 40.
Include the next digit (8) from the dividend after 40, then repeat: 408 / 71

Moving on to step 4:
The number 71 fits into 408 5 times, leaving a remainder of 53.
The next digit of our result is 5. 
Result so far: 55.0
The remainder is 53 after subtracting 355 from 408.
Append the next digit (7) from the dividend to 53 and continue with: 537 / 71

Let's proceed to step 5:
When dividing 537 by 71, we get 7 with a remainder of 40.
Write down 7 as next digit of the result. 
Result so far: 557.0
If we take 497 away from 537, we end up with 40.
Include the next digit (8) from the dividend after 40, then repeat: 408 / 71

Moving on to step 6:
71 can be fit into 408 5 times, resulting in a remainder of 53.
Put 5 as the next digit of the answer. 
Result so far: 5575.0
Subtract 355 from 408 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 7:
When dividing 530 by 71, we get 7 with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 5575.7
If we take 497 away from 530, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 8:
If we divide 330 by 71, we get 4 and a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 5575.74
Subtract 284 from 330 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 9:
If we divide 460 by 71, we get 6 and a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 5575.746
If we take 426 away from 460, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
71 can be fit into 340 4 times, resulting in a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 5575.7464
Deduct 284 from 340 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 11:
If we divide 560 by 71, we get 7 and a remainder of 63.
Use 7 as the next digit of our solution. 
Result so far: 5575.74647
Deduct 497 from 560 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 12:
630 divided by 71 is 8 with a remainder of 62.
Put 8 as the next digit of the answer. 
Result so far: 5575.746478
Deduct 568 from 630 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 13:
When dividing 620 by 71, we get 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 5575.7464788
The remainder is 52 after subtracting 568 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 5575.7464788 with a balance of 5.2e-07.