396553 ÷ 66 
We want to figure out the number of times 396553 can be divided by 66.

Going ahead to step 1:
66 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 66

Step 2:
When dividing 39 by 66, we get 0 with a remainder of 39.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 39, we end up with 39.
Take the next digit (6) from the dividend and append it to 39, then repeat: 396 / 66

Step 3:
396 divided by 66 is 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 396 from 396 to get 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 66

Step 4:
When dividing 5 by 66, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 60.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 66

Moving on to step 5:
When dividing 55 by 66, we get 0 with a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 600.0
If we take 0 away from 55, we end up with 55.
Fetch the next digit (3) from the dividend, attach it to 55 and continue: 553 / 66

On to step 6:
66 goes into 553 8 times with a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 6008.0
Deduct 528 from 553 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
66 goes into 250 3 times with a remainder of 52.
Write down 3 as next digit of the result. 
Result so far: 6008.3
Subtract 198 from 250 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 8:
66 goes into 520 7 times with a remainder of 58.
Record the quotient 7 as the next digit in the result. 
Result so far: 6008.37
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 9:
580 divided by 66 is 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 6008.378
The remainder is 52 after subtracting 528 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 10:
When dividing 520 by 66, we get 7 with a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 6008.3787
Subtracting 462 from 520 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 11:
66 can be fit into 580 8 times, resulting in a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 6008.37878
If we take 528 away from 580, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 12:
520 divided by 66 is 7 with a remainder of 58.
Use 7 as the next digit of our solution. 
Result so far: 6008.378787
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 13:
The number 66 fits into 580 8 times, leaving a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 6008.3787878
Subtract 528 from 580 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 14:
When dividing 520 by 66, we get 7 with a remainder of 58.
Put 7 as the next digit of the answer. 
Result so far: 6008.37878787
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

The final outcome is 6008.37878787, with a leftover of 5.8e-08.