7416884 ÷ 557 
We want to divide 7416884 by 557.

Step 1:
The number 557 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 557

On to step 2:
74 divided by 557 is 0 with a remainder of 74.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 74, we get 74.
Take the next digit (1) from the dividend and append it to 74, then repeat: 741 / 557

Moving on to step 3:
The number 557 fits into 741 1 times, leaving a remainder of 184.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 557 from 741, we get 184.
Take the next digit (6) from the dividend and append it to 184, then repeat: 1846 / 557

Step 4:
557 can be fit into 1846 3 times, resulting in a remainder of 175.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtracting 1671 from 1846 leaves us with 175.
Include the next digit (8) from the dividend after 175, then repeat: 1758 / 557

On to step 5:
557 can be fit into 1758 3 times, resulting in a remainder of 87.
Put 3 as the next digit of the answer. 
Result so far: 133.0
Deduct 1671 from 1758 and we're left with 87.
Grab the next digit (8) from the dividend, add it to 87, then carry on: 878 / 557

Let's proceed to step 6:
557 goes into 878 1 times with a remainder of 321.
Use 1 as the next digit of our solution. 
Result so far: 1331.0
Subtracting 557 from 878 leaves us with 321.
Append the next digit (4) from the dividend to 321 and continue with: 3214 / 557

Advancing to step 7:
557 can be fit into 3214 5 times, resulting in a remainder of 429.
Write down 5 as next digit of the result. 
Result so far: 13315.0
Subtracting 2785 from 3214 leaves us with 429.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4290, and continue the process.

On to step 8:
The number 557 fits into 4290 7 times, leaving a remainder of 391.
Put 7 as the next digit of the answer. 
Result so far: 13315.7
Subtracting 3899 from 4290 leaves us with 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

Moving on to step 9:
557 can be fit into 3910 7 times, resulting in a remainder of 11.
The next digit of our result is 7. 
Result so far: 13315.77
Subtracting 3899 from 3910 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 13315.77 with a remainder of 0.011.