We look at the division of 588539 by 75 
Let's see how many times 75 fits into 588539.

Moving on to step 1:
If we divide 5 by 75, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 75

Going ahead to step 2:
When dividing 58 by 75, we get 0 with a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Take the next digit (8) from the dividend and append it to 58, then repeat: 588 / 75

On to step 3:
75 goes into 588 7 times with a remainder of 63.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 525 from 588 and we're left with 63.
Bring next digit (5) of the dividend behind the 63 and repeat the process: 635 / 75

On to step 4:
75 can be fit into 635 8 times, resulting in a remainder of 35.
Use 8 as the next digit of our solution. 
Result so far: 78.0
Deduct 600 from 635 and we're left with 35.
Bring next digit (3) of the dividend behind the 35 and repeat the process: 353 / 75

Moving on to step 5:
If we divide 353 by 75, we get 4 and a remainder of 53.
Record the quotient 4 as the next digit in the result. 
Result so far: 784.0
If we take 300 away from 353, we end up with 53.
Take the next digit (9) from the dividend and append it to 53, then repeat: 539 / 75

Moving on to step 6:
75 goes into 539 7 times with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 7847.0
Subtracting 525 from 539 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
If we divide 140 by 75, we get 1 and a remainder of 65.
Write down 1 as next digit of the result. 
Result so far: 7847.1
The remainder is 65 after subtracting 75 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 8:
The number 75 fits into 650 8 times, leaving a remainder of 50.
Put 8 as the next digit of the answer. 
Result so far: 7847.18
If we take 600 away from 650, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
When dividing 500 by 75, we get 6 with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 7847.186
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 10:
When dividing 500 by 75, we get 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 7847.1866
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

After the division, we end up with 7847.1866 and a remainder of 0.0005.