2556319 ÷ 558 
We want to divide 2556319 by 558.

Let's proceed to step 1:
2 divided by 558 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 558

Moving on to step 2:
If we divide 25 by 558, we get 0 and a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 558

On to step 3:
When dividing 255 by 558, we get 0 with a remainder of 255.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 255 after subtracting 0 from 255.
Append the next digit (6) from the dividend to 255 and continue with: 2556 / 558

Advancing to step 4:
When dividing 2556 by 558, we get 4 with a remainder of 324.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 324 after subtracting 2232 from 2556.
Bring next digit (3) of the dividend behind the 324 and repeat the process: 3243 / 558

On to step 5:
3243 divided by 558 is 5 with a remainder of 453.
The next digit of our result is 5. 
Result so far: 45.0
The remainder is 453 after subtracting 2790 from 3243.
Bring next digit (1) of the dividend behind the 453 and repeat the process: 4531 / 558

Moving on to step 6:
558 goes into 4531 8 times with a remainder of 67.
The next digit of our result is 8. 
Result so far: 458.0
Deduct 4464 from 4531 and we're left with 67.
Append the next digit (9) from the dividend to 67 and continue with: 679 / 558

Going ahead to step 7:
The number 558 fits into 679 1 times, leaving a remainder of 121.
The number 1 becomes the next digit in our result. 
Result so far: 4581.0
Deduct 558 from 679 and we're left with 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1210, and continue the process.

Moving on to step 8:
If we divide 1210 by 558, we get 2 and a remainder of 94.
Use 2 as the next digit of our solution. 
Result so far: 4581.2
If we take 1116 away from 1210, we end up with 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Moving on to step 9:
The number 558 fits into 940 1 times, leaving a remainder of 382.
Use 1 as the next digit of our solution. 
Result so far: 4581.21
The remainder is 382 after subtracting 558 from 940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3820, and continue the process.

Step 10:
558 can be fit into 3820 6 times, resulting in a remainder of 472.
Record the quotient 6 as the next digit in the result. 
Result so far: 4581.216
The remainder is 472 after subtracting 3348 from 3820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4720, and continue the process.

Moving on to step 11:
If we divide 4720 by 558, we get 8 and a remainder of 256.
Use 8 as the next digit of our solution. 
Result so far: 4581.2168
If we take 4464 away from 4720, we end up with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Advancing to step 12:
The number 558 fits into 2560 4 times, leaving a remainder of 328.
The number 4 becomes the next digit in our result. 
Result so far: 4581.21684
If we subtract 2232 from 2560, we get 328.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

Advancing to step 13:
558 goes into 3280 5 times with a remainder of 490.
Use 5 as the next digit of our solution. 
Result so far: 4581.216845
Deduct 2790 from 3280 and we're left with 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

Let's proceed to step 14:
The number 558 fits into 4900 8 times, leaving a remainder of 436.
Put 8 as the next digit of the answer. 
Result so far: 4581.2168458
Subtract 4464 from 4900 to get 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

Step 15:
558 goes into 4360 7 times with a remainder of 454.
Write down 7 as next digit of the result. 
Result so far: 4581.21684587
If we subtract 3906 from 4360, we get 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

The quotient of the division is 4581.21684587, and the remainder is 4.54e-07.