We look at the division of 512063 by 59 
Our goal is to divide 512063 by 59.

Let's proceed to step 1:
5 divided by 59 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 59

Let's proceed to step 2:
When dividing 51 by 59, we get 0 with a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Append the next digit (2) from the dividend to 51 and continue with: 512 / 59

Let's proceed to step 3:
If we divide 512 by 59, we get 8 and a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 472 from 512, we get 40.
Fetch the next digit (0) from the dividend, attach it to 40 and continue: 400 / 59

Let's proceed to step 4:
If we divide 400 by 59, we get 6 and a remainder of 46.
Record the quotient 6 as the next digit in the result. 
Result so far: 86.0
The remainder is 46 after subtracting 354 from 400.
Fetch the next digit (6) from the dividend, attach it to 46 and continue: 466 / 59

Moving on to step 5:
When dividing 466 by 59, we get 7 with a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 867.0
Subtract 413 from 466 to get 53.
Bring next digit (3) of the dividend behind the 53 and repeat the process: 533 / 59

Going ahead to step 6:
If we divide 533 by 59, we get 9 and a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 8679.0
The remainder is 2 after subtracting 531 from 533.
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:
When dividing 20 by 59, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 8679.0
Deduct 0 from 20 and we're left 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:
When dividing 200 by 59, we get 3 with a remainder of 23.
The number 3 becomes the next digit in our result. 
Result so far: 8679.03
The remainder is 23 after subtracting 177 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 9:
59 can be fit into 230 3 times, resulting in a remainder of 53.
The next digit of our result is 3. 
Result so far: 8679.033
Subtracting 177 from 230 leaves us 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.

The quotient of the division is 8679.033, and the remainder is 0.0053.