We look at the division of 530511 by 59 
We want to figure out the number of times 530511 can be divided by 59.

Going ahead to step 1:
The number 59 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 59

On to step 2:
59 goes into 53 0 times with a remainder of 53.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 53, we get 53.
Take the next digit (0) from the dividend and append it to 53, then repeat: 530 / 59

Step 3:
If we divide 530 by 59, we get 8 and a remainder of 58.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 472 away from 530, we end up with 58.
Include the next digit (5) from the dividend after 58, then repeat: 585 / 59

Let's proceed to step 4:
59 goes into 585 9 times with a remainder of 54.
The number 9 becomes the next digit in our result. 
Result so far: 89.0
If we subtract 531 from 585, we get 54.
Take the next digit (1) from the dividend and append it to 54, then repeat: 541 / 59

Let's proceed to step 5:
The number 59 fits into 541 9 times, leaving a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 899.0
If we take 531 away from 541, we end up with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 59

Step 6:
101 divided by 59 is 1 with a remainder of 42.
The next digit of our result is 1. 
Result so far: 8991.0
Deduct 59 from 101 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 7:
59 can be fit into 420 7 times, resulting in a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 8991.7
If we take 413 away from 420, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
When dividing 70 by 59, we get 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 8991.71
If we subtract 59 from 70, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
If we divide 110 by 59, we get 1 and a remainder of 51.
Write down 1 as next digit of the result. 
Result so far: 8991.711
Subtract 59 from 110 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Our division results in 8991.711 with a remaining 0.0051.