We look at the division of 588082 by 75 
We're looking to find how many times 75 goes into 588082.

Going ahead to step 1:
75 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 75

Advancing to step 2:
58 divided by 75 is 0 with a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Fetch the next digit (8) from the dividend, attach it to 58 and continue: 588 / 75

Let's proceed to step 3:
If we divide 588 by 75, we get 7 and a remainder of 63.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 525 from 588 and we're left with 63.
Fetch the next digit (0) from the dividend, attach it to 63 and continue: 630 / 75

Advancing to step 4:
If we divide 630 by 75, we get 8 and a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
If we subtract 600 from 630, we get 30.
Grab the next digit (8) from the dividend, add it to 30, then carry on: 308 / 75

Advancing to step 5:
If we divide 308 by 75, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 784.0
The remainder is 8 after subtracting 300 from 308.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 75

Let's proceed to step 6:
75 can be fit into 82 1 times, resulting in a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 7841.0
If we take 75 away from 82, 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.

Moving on to step 7:
If we divide 70 by 75, we get 0 and a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 7841.0
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 8:
700 divided by 75 is 9 with a remainder of 25.
Use 9 as the next digit of our solution. 
Result so far: 7841.09
Deduct 675 from 700 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
The next digit of our result is 3. 
Result so far: 7841.093
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 10:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 7841.0933
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 7841.0933 with a remainder of 0.00025.