We look at the division of 441353 by 71 
We want to divide 441353 by 71.

Going ahead to step 1:
The number 71 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 71

Going ahead to step 2:
The number 71 fits into 44 0 times, leaving a remainder of 44.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 44 leaves us with 44.
Include the next digit (1) from the dividend after 44, then repeat: 441 / 71

Going ahead to step 3:
71 can be fit into 441 6 times, resulting in a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 426 from 441, we get 15.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 71

Step 4:
If we divide 153 by 71, we get 2 and a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Deduct 142 from 153 and we're left with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 71

Let's proceed to step 5:
When dividing 115 by 71, we get 1 with a remainder of 44.
The number 1 becomes the next digit in our result. 
Result so far: 621.0
Subtract 71 from 115 to get 44.
Grab the next digit (3) from the dividend, add it to 44, then carry on: 443 / 71

Moving on to step 6:
71 goes into 443 6 times with a remainder of 17.
Record the quotient 6 as the next digit in the result. 
Result so far: 6216.0
The remainder is 17 after subtracting 426 from 443.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
The number 71 fits into 170 2 times, leaving a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 6216.2
Subtract 142 from 170 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
71 can be fit into 280 3 times, resulting in a remainder of 67.
Put 3 as the next digit of the answer. 
Result so far: 6216.23
Subtracting 213 from 280 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 9:
The number 71 fits into 670 9 times, leaving a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 6216.239
Deduct 639 from 670 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 10:
71 can be fit into 310 4 times, resulting in a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 6216.2394
Deduct 284 from 310 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 11:
71 goes into 260 3 times with a remainder of 47.
The next digit of our result is 3. 
Result so far: 6216.23943
If we subtract 213 from 260, we get 47.
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 12:
When dividing 470 by 71, we get 6 with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 6216.239436
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 13:
440 divided by 71 is 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 6216.2394366
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 6216.2394366 with a balance of 1.4e-07.