We look at the division of 508201 by 71 
We're looking to find how many times 71 goes into 508201.

Going ahead to step 1:
5 divided by 71 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 71

Advancing to step 2:
The number 71 fits into 50 0 times, leaving a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Take the next digit (8) from the dividend and append it to 50, then repeat: 508 / 71

On to step 3:
If we divide 508 by 71, we get 7 and a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 497 from 508, we get 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 71

On to step 4:
71 can be fit into 112 1 times, resulting in a remainder of 41.
Record the quotient 1 as the next digit in the result. 
Result so far: 71.0
Subtracting 71 from 112 leaves us with 41.
Grab the next digit (0) from the dividend, add it to 41, then carry on: 410 / 71

On to step 5:
410 divided by 71 is 5 with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 715.0
If we subtract 355 from 410, we get 55.
Fetch the next digit (1) from the dividend, attach it to 55 and continue: 551 / 71

Step 6:
When dividing 551 by 71, we get 7 with a remainder of 54.
Put 7 as the next digit of the answer. 
Result so far: 7157.0
The remainder is 54 after subtracting 497 from 551.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 7:
71 can be fit into 540 7 times, resulting in a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 7157.7
Subtracting 497 from 540 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 8:
71 goes into 430 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 7157.76
The remainder is 4 after subtracting 426 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
The number 71 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 7157.76
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
The number 71 fits into 400 5 times, leaving a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 7157.7605
The remainder is 45 after subtracting 355 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 11:
When dividing 450 by 71, we get 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 7157.76056
If we take 426 away from 450, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
When dividing 240 by 71, we get 3 with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 7157.760563
If we take 213 away from 240, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 13:
270 divided by 71 is 3 with a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 7157.7605633
Deduct 213 from 270 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Our division results in 7157.7605633 with a remaining 5.7e-07.