We look at the division of 415001 by 71 
Let's see how many times 71 fits into 415001.

Going ahead to step 1:
The number 71 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 71

Moving on to step 2:
The number 71 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Take the next digit (5) from the dividend and append it to 41, then repeat: 415 / 71

Let's proceed to step 3:
71 goes into 415 5 times with a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 60 after subtracting 355 from 415.
Include the next digit (0) from the dividend after 60, then repeat: 600 / 71

Step 4:
600 divided by 71 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 58.0
The remainder is 32 after subtracting 568 from 600.
Take the next digit (0) from the dividend and append it to 32, then repeat: 320 / 71

Going ahead to step 5:
320 divided by 71 is 4 with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 584.0
Subtract 284 from 320 to get 36.
Grab the next digit (1) from the dividend, add it to 36, then carry on: 361 / 71

Let's proceed to step 6:
361 divided by 71 is 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 5845.0
Subtracting 355 from 361 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
The number 71 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 5845.0
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
71 can be fit into 600 8 times, resulting in a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 5845.08
Subtracting 568 from 600 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
71 can be fit into 320 4 times, resulting in a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 5845.084
If we subtract 284 from 320, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 10:
360 divided by 71 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5845.0845
Subtracting 355 from 360 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
50 divided by 71 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 5845.0845
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 12:
71 can be fit into 500 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 5845.084507
Deduct 497 from 500 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 13:
The number 71 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 5845.084507
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 14:
If we divide 300 by 71, we get 4 and a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 5845.08450704
Subtract 284 from 300 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 5845.08450704 with a remainder of 1.6e-08.