Let's divide 510869 by 71
We're looking to find how many times 71 goes into 510869.

On to step 1:
5 divided by 71 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 71

Step 2:
The number 71 fits into 51 0 times, leaving a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Grab the next digit (0) from the dividend, add it to 51, then carry on: 510 / 71

On to step 3:
The number 71 fits into 510 7 times, leaving a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 13 after subtracting 497 from 510.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 71

Step 4:
When dividing 138 by 71, we get 1 with a remainder of 67.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
Deduct 71 from 138 and we're left with 67.
Take the next digit (6) from the dividend and append it to 67, then repeat: 676 / 71

Step 5:
If we divide 676 by 71, we get 9 and a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 719.0
Subtracting 639 from 676 leaves us with 37.
Include the next digit (9) from the dividend after 37, then repeat: 379 / 71

On to step 6:
When dividing 379 by 71, we get 5 with a remainder of 24.
Record the quotient 5 as the next digit in the result. 
Result so far: 7195.0
Subtract 355 from 379 to 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.

Let's proceed to step 7:
71 goes into 240 3 times with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 7195.3
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.

Moving on to step 8:
The number 71 fits into 270 3 times, leaving a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 7195.33
If we take 213 away from 270, we end up 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 7195.33 with a balance of 0.057.