584091 ÷ 75 
Our goal is to divide 584091 by 75.

Moving on to step 1:
The number 75 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 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
Deduct 0 from 58 and we're left with 58.
Fetch the next digit (4) from the dividend, attach it to 58 and continue: 584 / 75

Step 3:
584 divided by 75 is 7 with a remainder of 59.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 525 from 584, we get 59.
Append the next digit (0) from the dividend to 59 and continue with: 590 / 75

Advancing to step 4:
If we divide 590 by 75, we get 7 and a remainder of 65.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
If we take 525 away from 590, we end up with 65.
Fetch the next digit (9) from the dividend, attach it to 65 and continue: 659 / 75

On to step 5:
If we divide 659 by 75, we get 8 and a remainder of 59.
Record the quotient 8 as the next digit in the result. 
Result so far: 778.0
If we subtract 600 from 659, we get 59.
Include the next digit (1) from the dividend after 59, then repeat: 591 / 75

Advancing to step 6:
The number 75 fits into 591 7 times, leaving a remainder of 66.
The number 7 becomes the next digit in our result. 
Result so far: 7787.0
The remainder is 66 after subtracting 525 from 591.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 7:
The number 75 fits into 660 8 times, leaving a remainder of 60.
Use 8 as the next digit of our solution. 
Result so far: 7787.8
The remainder is 60 after subtracting 600 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 8:
75 can be fit into 600 8 times, resulting in a remainder of 0.
The next digit of our result is 8. 
Result so far: 7787.88
If we take 600 away from 600, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 7787.88 with a remaining 0.0.