We look at the division of 8331078 by 556 
Let's see how many times 556 fits into 8331078.

Advancing to step 1:
If we divide 8 by 556, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 556

Let's proceed to step 2:
If we divide 83 by 556, we get 0 and a remainder of 83.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 83 to get 83.
Include the next digit (3) from the dividend after 83, then repeat: 833 / 556

Going ahead to step 3:
The number 556 fits into 833 1 times, leaving a remainder of 277.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 556 away from 833, we end up with 277.
Grab the next digit (1) from the dividend, add it to 277, then carry on: 2771 / 556

On to step 4:
The number 556 fits into 2771 4 times, leaving a remainder of 547.
Put 4 as the next digit of the answer. 
Result so far: 14.0
The remainder is 547 after subtracting 2224 from 2771.
Take the next digit (0) from the dividend and append it to 547, then repeat: 5470 / 556

Going ahead to step 5:
The number 556 fits into 5470 9 times, leaving a remainder of 466.
The number 9 becomes the next digit in our result. 
Result so far: 149.0
If we subtract 5004 from 5470, we get 466.
Take the next digit (7) from the dividend and append it to 466, then repeat: 4667 / 556

Going ahead to step 6:
When dividing 4667 by 556, we get 8 with a remainder of 219.
The next digit of our result is 8. 
Result so far: 1498.0
The remainder is 219 after subtracting 4448 from 4667.
Take the next digit (8) from the dividend and append it to 219, then repeat: 2198 / 556

Step 7:
556 can be fit into 2198 3 times, resulting in a remainder of 530.
Use 3 as the next digit of our solution. 
Result so far: 14983.0
Deduct 1668 from 2198 and we're left with 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5300, and continue the process.

On to step 8:
556 goes into 5300 9 times with a remainder of 296.
The next digit of our result is 9. 
Result so far: 14983.9
If we take 5004 away from 5300, we end up with 296.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2960, and continue the process.

Step 9:
2960 divided by 556 is 5 with a remainder of 180.
Record the quotient 5 as the next digit in the result. 
Result so far: 14983.95
Deduct 2780 from 2960 and we're left with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Advancing to step 10:
The number 556 fits into 1800 3 times, leaving a remainder of 132.
The next digit of our result is 3. 
Result so far: 14983.953
Subtract 1668 from 1800 to get 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Going ahead to step 11:
1320 divided by 556 is 2 with a remainder of 208.
Put 2 as the next digit of the answer. 
Result so far: 14983.9532
The remainder is 208 after subtracting 1112 from 1320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Going ahead to step 12:
556 can be fit into 2080 3 times, resulting in a remainder of 412.
Put 3 as the next digit of the answer. 
Result so far: 14983.95323
Subtracting 1668 from 2080 leaves us with 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Let's proceed to step 13:
If we divide 4120 by 556, we get 7 and a remainder of 228.
Write down 7 as next digit of the result. 
Result so far: 14983.953237
Subtracting 3892 from 4120 leaves us with 228.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2280, and continue the process.

Moving on to step 14:
556 can be fit into 2280 4 times, resulting in a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 14983.9532374
Subtracting 2224 from 2280 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 15:
556 goes into 560 1 times with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 14983.95323741
If we take 556 away from 560, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 14983.95323741 with a remainder of 4e-09.