556321 divided by 66 
We want to figure out the number of times 556321 can be divided by 66.

Moving on to step 1:
5 divided by 66 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 66

Step 2:
When dividing 55 by 66, we get 0 with a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Fetch the next digit (6) from the dividend, attach it to 55 and continue: 556 / 66

Step 3:
If we divide 556 by 66, we get 8 and a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 528 from 556 leaves us with 28.
Append the next digit (3) from the dividend to 28 and continue with: 283 / 66

Moving on to step 4:
66 goes into 283 4 times with a remainder of 19.
Write down 4 as next digit of the result. 
Result so far: 84.0
If we subtract 264 from 283, we get 19.
Include the next digit (2) from the dividend after 19, then repeat: 192 / 66

Step 5:
If we divide 192 by 66, we get 2 and a remainder of 60.
Record the quotient 2 as the next digit in the result. 
Result so far: 842.0
Deduct 132 from 192 and we're left with 60.
Append the next digit (1) from the dividend to 60 and continue with: 601 / 66

Going ahead to step 6:
66 goes into 601 9 times with a remainder of 7.
The next digit of our result is 9. 
Result so far: 8429.0
If we subtract 594 from 601, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
66 goes into 70 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 8429.1
Deduct 66 from 70 and we're left 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.

Going ahead to step 8:
When dividing 40 by 66, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 8429.1
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.

Moving on to step 9:
66 goes into 400 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 8429.106
Deduct 396 from 400 and we're left 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.

Moving on to step 10:
When dividing 40 by 66, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 8429.106
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.

Advancing to step 11:
The number 66 fits into 400 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 8429.10606
Subtract 396 from 400 to 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 12:
66 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 8429.10606
Deduct 0 from 40 and we're left 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.

On to step 13:
400 divided by 66 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 8429.1060606
Deduct 396 from 400 and we're left 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.

Advancing to step 14:
66 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 8429.1060606
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.

The quotient of the division is 8429.1060606, and the remainder is 4e-08.