We divide 580599 by 75
We want to figure out the number of times 580599 can be divided by 75.

Let's proceed to step 1:
When dividing 5 by 75, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 75

Advancing to step 2:
75 can be fit into 58 0 times, resulting in a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Bring next digit (0) of the dividend behind the 58 and repeat the process: 580 / 75

On to step 3:
75 can be fit into 580 7 times, resulting in a remainder of 55.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 525 from 580 and we're left with 55.
Include the next digit (5) from the dividend after 55, then repeat: 555 / 75

Going ahead to step 4:
75 goes into 555 7 times with a remainder of 30.
Put 7 as the next digit of the answer. 
Result so far: 77.0
The remainder is 30 after subtracting 525 from 555.
Append the next digit (9) from the dividend to 30 and continue with: 309 / 75

Moving on to step 5:
75 goes into 309 4 times with a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 774.0
The remainder is 9 after subtracting 300 from 309.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 75

Going ahead to step 6:
If we divide 99 by 75, we get 1 and a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 7741.0
The remainder is 24 after subtracting 75 from 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
When dividing 240 by 75, we get 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 7741.3
If we subtract 225 from 240, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
75 goes into 150 2 times with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 7741.32
The remainder is 0 after subtracting 150 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
If we divide 0 by 75, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 7741.32
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
If we divide 0 by 75, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 7741.32
Subtracting 0 from 0 leaves us 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.

The quotient of the division is 7741.32, and the remainder is 0.0.