We look at the division of 578579 by 55 
We're looking to find how many times 55 goes into 578579.

Going ahead to step 1:
If we divide 5 by 55, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 55

Step 2:
57 divided by 55 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 55 from 57 and we're left with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 55

On to step 3:
The number 55 fits into 28 0 times, leaving a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 28 to get 28.
Fetch the next digit (5) from the dividend, attach it to 28 and continue: 285 / 55

Let's proceed to step 4:
The number 55 fits into 285 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
If we take 275 away from 285, we end up with 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 55

Let's proceed to step 5:
107 divided by 55 is 1 with a remainder of 52.
The number 1 becomes the next digit in our result. 
Result so far: 1051.0
Subtract 55 from 107 to get 52.
Bring next digit (9) of the dividend behind the 52 and repeat the process: 529 / 55

Let's proceed to step 6:
55 goes into 529 9 times with a remainder of 34.
Record the quotient 9 as the next digit in the result. 
Result so far: 10519.0
If we subtract 495 from 529, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
340 divided by 55 is 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 10519.6
Subtracting 330 from 340 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
100 divided by 55 is 1 with a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 10519.61
Subtracting 55 from 100 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 9:
If we divide 450 by 55, we get 8 and a remainder of 10.
The next digit of our result is 8. 
Result so far: 10519.618
If we take 440 away from 450, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
55 can be fit into 100 1 times, resulting in a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 10519.6181
Subtract 55 from 100 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 11:
If we divide 450 by 55, we get 8 and a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 10519.61818
Subtract 440 from 450 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
100 divided by 55 is 1 with a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 10519.618181
Subtract 55 from 100 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 13:
55 goes into 450 8 times with a remainder of 10.
The next digit of our result is 8. 
Result so far: 10519.6181818
The remainder is 10 after subtracting 440 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
55 goes into 100 1 times with a remainder of 45.
The next digit of our result is 1. 
Result so far: 10519.61818181
If we subtract 55 from 100, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The final result is 10519.61818181 with a remainder of 4.5e-08.