We look at the division of 2579593 by 555 
Our goal is to divide 2579593 by 555.

On to step 1:
2 divided by 555 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 555

Going ahead to step 2:
555 goes into 25 0 times with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 555

On to step 3:
If we divide 257 by 555, we get 0 and a remainder of 257.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 257 and we're left with 257.
Fetch the next digit (9) from the dividend, attach it to 257 and continue: 2579 / 555

Step 4:
555 can be fit into 2579 4 times, resulting in a remainder of 359.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 2220 from 2579, we get 359.
Take the next digit (5) from the dividend and append it to 359, then repeat: 3595 / 555

Let's proceed to step 5:
If we divide 3595 by 555, we get 6 and a remainder of 265.
The next digit of our result is 6. 
Result so far: 46.0
Subtracting 3330 from 3595 leaves us with 265.
Take the next digit (9) from the dividend and append it to 265, then repeat: 2659 / 555

On to step 6:
If we divide 2659 by 555, we get 4 and a remainder of 439.
Record the quotient 4 as the next digit in the result. 
Result so far: 464.0
Deduct 2220 from 2659 and we're left with 439.
Bring next digit (3) of the dividend behind the 439 and repeat the process: 4393 / 555

Moving on to step 7:
When dividing 4393 by 555, we get 7 with a remainder of 508.
Use 7 as the next digit of our solution. 
Result so far: 4647.0
Deduct 3885 from 4393 and we're left with 508.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5080, and continue the process.

Let's proceed to step 8:
5080 divided by 555 is 9 with a remainder of 85.
Put 9 as the next digit of the answer. 
Result so far: 4647.9
If we subtract 4995 from 5080, we get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

On to step 9:
If we divide 850 by 555, we get 1 and a remainder of 295.
Put 1 as the next digit of the answer. 
Result so far: 4647.91
Deduct 555 from 850 and we're left with 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

Let's proceed to step 10:
555 goes into 2950 5 times with a remainder of 175.
Record the quotient 5 as the next digit in the result. 
Result so far: 4647.915
Deduct 2775 from 2950 and we're left with 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

Moving on to step 11:
The number 555 fits into 1750 3 times, leaving a remainder of 85.
Write down 3 as next digit of the result. 
Result so far: 4647.9153
The remainder is 85 after subtracting 1665 from 1750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Going ahead to step 12:
555 can be fit into 850 1 times, resulting in a remainder of 295.
Put 1 as the next digit of the answer. 
Result so far: 4647.91531
If we subtract 555 from 850, we get 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

Step 13:
If we divide 2950 by 555, we get 5 and a remainder of 175.
Record the quotient 5 as the next digit in the result. 
Result so far: 4647.915315
Subtract 2775 from 2950 to get 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

Let's proceed to step 14:
If we divide 1750 by 555, we get 3 and a remainder of 85.
The number 3 becomes the next digit in our result. 
Result so far: 4647.9153153
Subtracting 1665 from 1750 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Let's proceed to step 15:
The number 555 fits into 850 1 times, leaving a remainder of 295.
Use 1 as the next digit of our solution. 
Result so far: 4647.91531531
Subtracting 555 from 850 leaves us with 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

The final result is 4647.91531531 with a remainder of 2.95e-07.