We look at the division of 587509 by 488 
Our goal is to divide 587509 by 488.

Moving on to step 1:
488 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 488

Step 2:
When dividing 58 by 488, we get 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Fetch the next digit (7) from the dividend, attach it to 58 and continue: 587 / 488

Going ahead to step 3:
488 goes into 587 1 times with a remainder of 99.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 488 away from 587, we end up with 99.
Include the next digit (5) from the dividend after 99, then repeat: 995 / 488

Step 4:
If we divide 995 by 488, we get 2 and a remainder of 19.
The next digit of our result is 2. 
Result so far: 12.0
If we take 976 away from 995, we end up with 19.
Fetch the next digit (0) from the dividend, attach it to 19 and continue: 190 / 488

Going ahead to step 5:
488 can be fit into 190 0 times, resulting in a remainder of 190.
Use 0 as the next digit of our solution. 
Result so far: 120.0
If we take 0 away from 190, we end up with 190.
Append the next digit (9) from the dividend to 190 and continue with: 1909 / 488

On to step 6:
488 goes into 1909 3 times with a remainder of 445.
Use 3 as the next digit of our solution. 
Result so far: 1203.0
If we take 1464 away from 1909, we end up with 445.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4450, and continue the process.

Going ahead to step 7:
488 can be fit into 4450 9 times, resulting in a remainder of 58.
Use 9 as the next digit of our solution. 
Result so far: 1203.9
The remainder is 58 after subtracting 4392 from 4450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 8:
The number 488 fits into 580 1 times, leaving a remainder of 92.
Record the quotient 1 as the next digit in the result. 
Result so far: 1203.91
The remainder is 92 after subtracting 488 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Let's proceed to step 9:
488 goes into 920 1 times with a remainder of 432.
Use 1 as the next digit of our solution. 
Result so far: 1203.911
Subtract 488 from 920 to get 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

The final result is 1203.911 with a remainder of 0.0432.