We're dividing 508187 by 71 
Let's see how many times 71 fits into 508187.

Going ahead to step 1:
If we divide 5 by 71, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 71

On to step 2:
If we divide 50 by 71, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Grab the next digit (8) from the dividend, add it to 50, then carry on: 508 / 71

Step 3:
71 goes into 508 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 497 from 508 to get 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 71

Advancing to step 4:
111 divided by 71 is 1 with a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 71.0
Subtract 71 from 111 to get 40.
Bring next digit (8) of the dividend behind the 40 and repeat the process: 408 / 71

Advancing to step 5:
The number 71 fits into 408 5 times, leaving a remainder of 53.
The number 5 becomes the next digit in our result. 
Result so far: 715.0
Deduct 355 from 408 and we're left with 53.
Grab the next digit (7) from the dividend, add it to 53, then carry on: 537 / 71

Step 6:
537 divided by 71 is 7 with a remainder of 40.
Record the quotient 7 as the next digit in the result. 
Result so far: 7157.0
Subtracting 497 from 537 leaves us 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.

Moving on to step 7:
If we divide 400 by 71, we get 5 and a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 7157.5
Subtract 355 from 400 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 8:
71 can be fit into 450 6 times, resulting in a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 7157.56
If we subtract 426 from 450, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
240 divided by 71 is 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 7157.563
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.

Advancing to step 10:
If we divide 270 by 71, we get 3 and a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 7157.5633
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.

In conclusion, the division gives 7157.5633 with a balance of 0.00057.