570581 ÷ 75 
Our goal is to divide 570581 by 75.

Step 1:
5 divided by 75 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 75

On to step 2:
57 divided by 75 is 0 with a remainder of 57.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 57, we end up with 57.
Take the next digit (0) from the dividend and append it to 57, then repeat: 570 / 75

Advancing to step 3:
The number 75 fits into 570 7 times, leaving a remainder of 45.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 45 after subtracting 525 from 570.
Grab the next digit (5) from the dividend, add it to 45, then carry on: 455 / 75

Moving on to step 4:
455 divided by 75 is 6 with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 76.0
If we subtract 450 from 455, we get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 75

On to step 5:
The number 75 fits into 58 0 times, leaving a remainder of 58.
The next digit of our result is 0. 
Result so far: 760.0
Subtracting 0 from 58 leaves us with 58.
Append the next digit (1) from the dividend to 58 and continue with: 581 / 75

Step 6:
The number 75 fits into 581 7 times, leaving a remainder of 56.
The number 7 becomes the next digit in our result. 
Result so far: 7607.0
Deduct 525 from 581 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 7:
The number 75 fits into 560 7 times, leaving a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 7607.7
Deduct 525 from 560 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 8:
When dividing 350 by 75, we get 4 with a remainder of 50.
The number 4 becomes the next digit in our result. 
Result so far: 7607.74
If we take 300 away from 350, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The next digit of our result is 6. 
Result so far: 7607.746
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
75 goes into 500 6 times with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 7607.7466
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 7607.7466, and the remainder is 0.0005.