We divide 505759 by 71
Our goal is to divide 505759 by 71.

Advancing 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
If we take 0 away from 5, we end up with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 71

Moving on to step 2:
The number 71 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Take the next digit (5) from the dividend and append it to 50, then repeat: 505 / 71

Let's proceed to step 3:
71 goes into 505 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 8 after subtracting 497 from 505.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 71

Step 4:
If we divide 87 by 71, we get 1 and a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 71.0
The remainder is 16 after subtracting 71 from 87.
Grab the next digit (5) from the dividend, add it to 16, then carry on: 165 / 71

Let's proceed to step 5:
If we divide 165 by 71, we get 2 and a remainder of 23.
Record the quotient 2 as the next digit in the result. 
Result so far: 712.0
If we subtract 142 from 165, we get 23.
Bring next digit (9) of the dividend behind the 23 and repeat the process: 239 / 71

Let's proceed to step 6:
71 goes into 239 3 times with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 7123.0
The remainder is 26 after subtracting 213 from 239.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
260 divided by 71 is 3 with a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 7123.3
If we take 213 away from 260, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 8:
When dividing 470 by 71, we get 6 with a remainder of 44.
The next digit of our result is 6. 
Result so far: 7123.36
The remainder is 44 after subtracting 426 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 9:
71 can be fit into 440 6 times, resulting in a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 7123.366
The remainder is 14 after subtracting 426 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 7123.366 with a balance of 0.0014.