416554 divided by 66 
We want to figure out the number of times 416554 can be divided by 66.

Advancing to step 1:
The number 66 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 66

Advancing to step 2:
66 goes into 41 0 times with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Fetch the next digit (6) from the dividend, attach it to 41 and continue: 416 / 66

On to step 3:
If we divide 416 by 66, we get 6 and a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 20 after subtracting 396 from 416.
Include the next digit (5) from the dividend after 20, then repeat: 205 / 66

Let's proceed to step 4:
When dividing 205 by 66, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
Deduct 198 from 205 and we're left with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 66

Moving on to step 5:
The number 66 fits into 75 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 631.0
The remainder is 9 after subtracting 66 from 75.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 66

Going ahead to step 6:
66 goes into 94 1 times with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 6311.0
If we take 66 away from 94, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
66 goes into 280 4 times with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 6311.4
Deduct 264 from 280 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
66 can be fit into 160 2 times, resulting in a remainder of 28.
The next digit of our result is 2. 
Result so far: 6311.42
Subtracting 132 from 160 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
If we divide 280 by 66, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 6311.424
If we subtract 264 from 280, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
When dividing 160 by 66, we get 2 with a remainder of 28.
The next digit of our result is 2. 
Result so far: 6311.4242
The remainder is 28 after subtracting 132 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
When dividing 280 by 66, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 6311.42424
If we take 264 away from 280, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
When dividing 160 by 66, we get 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 6311.424242
Subtracting 132 from 160 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 13:
66 goes into 280 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 6311.4242424
If we take 264 away from 280, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 14:
The number 66 fits into 160 2 times, leaving a remainder of 28.
The next digit of our result is 2. 
Result so far: 6311.42424242
Deduct 132 from 160 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 6311.42424242, and the remainder is 2.8e-08.