We look at the division of 66127183 by 556 
Our goal is to divide 66127183 by 556.

Moving on to step 1:
6 divided by 556 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 556

Moving on to step 2:
556 can be fit into 66 0 times, resulting in a remainder of 66.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 66 leaves us with 66.
Take the next digit (1) from the dividend and append it to 66, then repeat: 661 / 556

Going ahead to step 3:
661 divided by 556 is 1 with a remainder of 105.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 556 from 661 and we're left with 105.
Append the next digit (2) from the dividend to 105 and continue with: 1052 / 556

Advancing to step 4:
556 goes into 1052 1 times with a remainder of 496.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 496 after subtracting 556 from 1052.
Take the next digit (7) from the dividend and append it to 496, then repeat: 4967 / 556

Let's proceed to step 5:
4967 divided by 556 is 8 with a remainder of 519.
The number 8 becomes the next digit in our result. 
Result so far: 118.0
Subtracting 4448 from 4967 leaves us with 519.
Grab the next digit (1) from the dividend, add it to 519, then carry on: 5191 / 556

Step 6:
556 can be fit into 5191 9 times, resulting in a remainder of 187.
The next digit of our result is 9. 
Result so far: 1189.0
If we subtract 5004 from 5191, we get 187.
Append the next digit (8) from the dividend to 187 and continue with: 1878 / 556

Let's proceed to step 7:
If we divide 1878 by 556, we get 3 and a remainder of 210.
Record the quotient 3 as the next digit in the result. 
Result so far: 11893.0
Subtract 1668 from 1878 to get 210.
Include the next digit (3) from the dividend after 210, then repeat: 2103 / 556

Going ahead to step 8:
2103 divided by 556 is 3 with a remainder of 435.
The next digit of our result is 3. 
Result so far: 118933.0
Subtract 1668 from 2103 to get 435.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4350, and continue the process.

Let's proceed to step 9:
556 can be fit into 4350 7 times, resulting in a remainder of 458.
Write down 7 as next digit of the result. 
Result so far: 118933.7
Deduct 3892 from 4350 and we're left with 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

Step 10:
4580 divided by 556 is 8 with a remainder of 132.
Put 8 as the next digit of the answer. 
Result so far: 118933.78
Deduct 4448 from 4580 and we're left with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

On to step 11:
556 can be fit into 1320 2 times, resulting in a remainder of 208.
Put 2 as the next digit of the answer. 
Result so far: 118933.782
Deduct 1112 from 1320 and we're left with 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Step 12:
2080 divided by 556 is 3 with a remainder of 412.
Write down 3 as next digit of the result. 
Result so far: 118933.7823
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.

Moving on to step 13:
556 goes into 4120 7 times with a remainder of 228.
Put 7 as the next digit of the answer. 
Result so far: 118933.78237
Deduct 3892 from 4120 and we're left 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.

Step 14:
The number 556 fits into 2280 4 times, leaving a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 118933.782374
Deduct 2224 from 2280 and we're left 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.
Use 1 as the next digit of our solution. 
Result so far: 118933.7823741
If we subtract 556 from 560, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 16:
If we divide 40 by 556, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 118933.7823741
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 118933.7823741 with a balance of 4e-08.