We look at the division of 575783 by 6 
Our goal is to divide 575783 by 6.

Going ahead to step 1:
The number 6 fits into 5 0 times, leaving 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.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 6

Advancing to step 2:
57 divided by 6 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 54 from 57, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 6

Going ahead to step 3:
6 goes into 35 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 95.0
Deduct 30 from 35 and we're left with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 6

Moving on to step 4:
The number 6 fits into 57 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 959.0
Subtract 54 from 57 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 6

Let's proceed to step 5:
If we divide 38 by 6, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 9596.0
Subtract 36 from 38 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 6

Advancing to step 6:
The number 6 fits into 23 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 95963.0
Subtract 18 from 23 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
6 can be fit into 50 8 times, resulting in a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 95963.8
The remainder is 2 after subtracting 48 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
If we divide 20 by 6, we get 3 and a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 95963.83
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 95963.833
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 95963.833, and the remainder is 0.0002.