We're dividing 579257 by 55 
We're looking to find how many times 55 goes into 579257.

Moving on to step 1:
55 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 55

On to step 2:
When dividing 57 by 55, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 55 from 57, we get 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 55

On to step 3:
55 goes into 29 0 times with a remainder of 29.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 29 to get 29.
Fetch the next digit (2) from the dividend, attach it to 29 and continue: 292 / 55

Advancing to step 4:
If we divide 292 by 55, we get 5 and a remainder of 17.
The next digit of our result is 5. 
Result so far: 105.0
If we take 275 away from 292, we end up with 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 55

On to step 5:
If we divide 175 by 55, we get 3 and a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 1053.0
The remainder is 10 after subtracting 165 from 175.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 55

Going ahead to step 6:
107 divided by 55 is 1 with a remainder of 52.
Use 1 as the next digit of our solution. 
Result so far: 10531.0
Subtracting 55 from 107 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 7:
55 can be fit into 520 9 times, resulting in a remainder of 25.
Write down 9 as next digit of the result. 
Result so far: 10531.9
If we subtract 495 from 520, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
The number 55 fits into 250 4 times, leaving a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 10531.94
Subtracting 220 from 250 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
55 goes into 300 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 10531.945
Subtract 275 from 300 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
250 divided by 55 is 4 with a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 10531.9454
Subtracting 220 from 250 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
55 goes into 300 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 10531.94545
Subtracting 275 from 300 leaves us 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.

Moving on to step 12:
55 goes into 250 4 times with a remainder of 30.
Write down 4 as next digit of the result. 
Result so far: 10531.945454
Deduct 220 from 250 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
The number 55 fits into 300 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 10531.9454545
Subtract 275 from 300 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 14:
55 can be fit into 250 4 times, resulting in a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 10531.94545454
The remainder is 30 after subtracting 220 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 10531.94545454 and a remainder of 3e-08.