We divide 559 by 75
Our goal is to divide 559 by 75.

Moving on to step 1:
If we divide 5 by 75, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 75

Let's proceed to step 2:
When dividing 55 by 75, we get 0 with a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Bring next digit (9) of the dividend behind the 55 and repeat the process: 559 / 75

Let's proceed to step 3:
559 divided by 75 is 7 with a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 525 from 559 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 4:
340 divided by 75 is 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 7.4
If we subtract 300 from 340, 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.

Let's proceed to step 5:
75 can be fit into 400 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 7.45
The remainder is 25 after subtracting 375 from 400.
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 6:
250 divided by 75 is 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 7.453
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 7:
If we divide 250 by 75, we get 3 and a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 7.4533
Deduct 225 from 250 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.

After the division, we end up with 7.4533 and a remainder of 0.00025.