We look at the division of 510647 by 59 
Our goal is to divide 510647 by 59.

Going ahead to step 1:
5 divided by 59 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.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 59

Advancing to step 2:
59 can be fit into 51 0 times, resulting in a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Take the next digit (0) from the dividend and append it to 51, then repeat: 510 / 59

Let's proceed to step 3:
59 can be fit into 510 8 times, resulting in a remainder of 38.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 472 from 510 leaves us with 38.
Include the next digit (6) from the dividend after 38, then repeat: 386 / 59

Moving on to step 4:
59 can be fit into 386 6 times, resulting in a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 86.0
If we take 354 away from 386, we end up with 32.
Include the next digit (4) from the dividend after 32, then repeat: 324 / 59

Going ahead to step 5:
59 can be fit into 324 5 times, resulting in a remainder of 29.
The number 5 becomes the next digit in our result. 
Result so far: 865.0
If we subtract 295 from 324, we get 29.
Take the next digit (7) from the dividend and append it to 29, then repeat: 297 / 59

Moving on to step 6:
297 divided by 59 is 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 8655.0
If we take 295 away from 297, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
20 divided by 59 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 8655.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
59 can be fit into 200 3 times, resulting in a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 8655.03
If we subtract 177 from 200, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 9:
59 goes into 230 3 times with a remainder of 53.
Record the quotient 3 as the next digit in the result. 
Result so far: 8655.033
Deduct 177 from 230 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

In conclusion, the division gives 8655.033 with a balance of 0.0053.