We divide 556318 by 66
Our goal is to divide 556318 by 66.

Step 1:
66 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 66

Advancing to step 2:
If we divide 55 by 66, we get 0 and a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Take the next digit (6) from the dividend and append it to 55, then repeat: 556 / 66

Advancing to step 3:
When dividing 556 by 66, we get 8 with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 528 from 556 and we're left with 28.
Take the next digit (3) from the dividend and append it to 28, then repeat: 283 / 66

Let's proceed to step 4:
If we divide 283 by 66, we get 4 and a remainder of 19.
Put 4 as the next digit of the answer. 
Result so far: 84.0
Subtract 264 from 283 to get 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 66

On to step 5:
66 can be fit into 191 2 times, resulting in a remainder of 59.
Write down 2 as next digit of the result. 
Result so far: 842.0
Subtract 132 from 191 to get 59.
Grab the next digit (8) from the dividend, add it to 59, then carry on: 598 / 66

Moving on to step 6:
If we divide 598 by 66, we get 9 and a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 8429.0
If we take 594 away from 598, 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.

Step 7:
The number 66 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 8429.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
66 can be fit into 400 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 8429.06
If we subtract 396 from 400, 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.

Going ahead to step 9:
If we divide 40 by 66, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8429.06
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
66 can be fit into 400 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 8429.0606
If we take 396 away from 400, 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.

On to step 11:
66 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 8429.0606
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 12:
If we divide 400 by 66, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 8429.060606
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
If we divide 40 by 66, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 8429.060606
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 14:
66 goes into 400 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 8429.06060606
If we take 396 away from 400, 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.

Our division results in 8429.06060606 with a remaining 4e-09.