Let's divide 413216 by 71
We want to figure out the number of times 413216 can be divided by 71.

Moving on to step 1:
4 divided by 71 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 71

Step 2:
71 goes into 41 0 times with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 71

Let's proceed to step 3:
413 divided by 71 is 5 with a remainder of 58.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 355 from 413 leaves us with 58.
Grab the next digit (2) from the dividend, add it to 58, then carry on: 582 / 71

Step 4:
The number 71 fits into 582 8 times, leaving a remainder of 14.
The next digit of our result is 8. 
Result so far: 58.0
Deduct 568 from 582 and we're left with 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 71

Moving on to step 5:
71 goes into 141 1 times with a remainder of 70.
The number 1 becomes the next digit in our result. 
Result so far: 581.0
Subtract 71 from 141 to get 70.
Include the next digit (6) from the dividend after 70, then repeat: 706 / 71

On to step 6:
71 goes into 706 9 times with a remainder of 67.
Use 9 as the next digit of our solution. 
Result so far: 5819.0
The remainder is 67 after subtracting 639 from 706.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 7:
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: 5819.9
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.

Step 8:
The number 71 fits into 310 4 times, leaving a remainder of 26.
The next digit of our result is 4. 
Result so far: 5819.94
Subtract 284 from 310 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 9:
71 goes into 260 3 times with a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 5819.943
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 10:
71 goes into 470 6 times with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 5819.9436
Subtracting 426 from 470 leaves us 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.

Going ahead to step 11:
The number 71 fits into 440 6 times, leaving a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 5819.94366
If we subtract 426 from 440, we get 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 5819.94366 with a balance of 1.4e-05.