We look at the division of 6359221 by 578 
Let's see how many times 578 fits into 6359221.

Advancing to step 1:
The number 578 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 578

Going ahead to step 2:
When dividing 63 by 578, we get 0 with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Take the next digit (5) from the dividend and append it to 63, then repeat: 635 / 578

Going ahead to step 3:
If we divide 635 by 578, we get 1 and a remainder of 57.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 57 after subtracting 578 from 635.
Fetch the next digit (9) from the dividend, attach it to 57 and continue: 579 / 578

Let's proceed to step 4:
If we divide 579 by 578, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Deduct 578 from 579 and we're left with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 578

Let's proceed to step 5:
When dividing 12 by 578, we get 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 110.0
Deduct 0 from 12 and we're left with 12.
Take the next digit (2) from the dividend and append it to 12, then repeat: 122 / 578

Moving on to step 6:
578 can be fit into 122 0 times, resulting in a remainder of 122.
The next digit of our result is 0. 
Result so far: 1100.0
If we take 0 away from 122, we end up with 122.
Bring next digit (1) of the dividend behind the 122 and repeat the process: 1221 / 578

Moving on to step 7:
When dividing 1221 by 578, we get 2 with a remainder of 65.
Record the quotient 2 as the next digit in the result. 
Result so far: 11002.0
Subtract 1156 from 1221 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 8:
The number 578 fits into 650 1 times, leaving a remainder of 72.
Record the quotient 1 as the next digit in the result. 
Result so far: 11002.1
If we subtract 578 from 650, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 9:
578 goes into 720 1 times with a remainder of 142.
Record the quotient 1 as the next digit in the result. 
Result so far: 11002.11
Subtract 578 from 720 to get 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

The quotient of the division is 11002.11, and the remainder is 0.142.