We look at the division of 587665 by 75 
We want to divide 587665 by 75.

Advancing to step 1:
75 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 75

On to step 2:
75 goes into 58 0 times with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Grab the next digit (7) from the dividend, add it to 58, then carry on: 587 / 75

Going ahead to step 3:
75 goes into 587 7 times with a remainder of 62.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 525 away from 587, we end up with 62.
Fetch the next digit (6) from the dividend, attach it to 62 and continue: 626 / 75

On to step 4:
75 can be fit into 626 8 times, resulting in a remainder of 26.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
Subtracting 600 from 626 leaves us with 26.
Take the next digit (6) from the dividend and append it to 26, then repeat: 266 / 75

Moving on to step 5:
If we divide 266 by 75, we get 3 and a remainder of 41.
Write down 3 as next digit of the result. 
Result so far: 783.0
Subtracting 225 from 266 leaves us with 41.
Include the next digit (5) from the dividend after 41, then repeat: 415 / 75

On to step 6:
If we divide 415 by 75, we get 5 and a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 7835.0
If we subtract 375 from 415, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
When dividing 400 by 75, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 7835.5
Deduct 375 from 400 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.

Step 8:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 7835.53
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 7835.533
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 7835.533 and a remainder of 0.0025.