510180 divided by 71 
We want to figure out the number of times 510180 can be divided by 71.

Advancing to step 1:
5 divided by 71 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 71

Step 2:
The number 71 fits into 51 0 times, leaving a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Fetch the next digit (0) from the dividend, attach it to 51 and continue: 510 / 71

On to step 3:
When dividing 510 by 71, we get 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 13 after subtracting 497 from 510.
Fetch the next digit (1) from the dividend, attach it to 13 and continue: 131 / 71

Step 4:
71 can be fit into 131 1 times, resulting in a remainder of 60.
Write down 1 as next digit of the result. 
Result so far: 71.0
The remainder is 60 after subtracting 71 from 131.
Take the next digit (8) from the dividend and append it to 60, then repeat: 608 / 71

On to step 5:
When dividing 608 by 71, we get 8 with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 718.0
Subtracting 568 from 608 leaves us with 40.
Take the next digit (0) from the dividend and append it to 40, then repeat: 400 / 71

Step 6:
The number 71 fits into 400 5 times, leaving a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 7185.0
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.

On to step 7:
71 can be fit into 450 6 times, resulting in a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 7185.6
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.

Advancing to step 8:
When dividing 240 by 71, we get 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 7185.63
Subtract 213 from 240 to get 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 9:
270 divided by 71 is 3 with a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 7185.633
Subtracting 213 from 270 leaves us 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 7185.633 with a balance of 0.0057.