309663 divided by 66 
We're looking to find how many times 66 goes into 309663.

Let's proceed to step 1:
If we divide 3 by 66, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 66

Step 2:
When dividing 30 by 66, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 30, we get 30.
Fetch the next digit (9) from the dividend, attach it to 30 and continue: 309 / 66

Let's proceed to step 3:
66 goes into 309 4 times with a remainder of 45.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 264 from 309 leaves us with 45.
Fetch the next digit (6) from the dividend, attach it to 45 and continue: 456 / 66

On to step 4:
66 goes into 456 6 times with a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 46.0
If we take 396 away from 456, we end up with 60.
Bring next digit (6) of the dividend behind the 60 and repeat the process: 606 / 66

Moving on to step 5:
The number 66 fits into 606 9 times, leaving a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 469.0
The remainder is 12 after subtracting 594 from 606.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 66

Step 6:
66 can be fit into 123 1 times, resulting in a remainder of 57.
The next digit of our result is 1. 
Result so far: 4691.0
Subtracting 66 from 123 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 7:
66 can be fit into 570 8 times, resulting in a remainder of 42.
The next digit of our result is 8. 
Result so far: 4691.8
If we subtract 528 from 570, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
420 divided by 66 is 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 4691.86
If we take 396 away from 420, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
When dividing 240 by 66, we get 3 with a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 4691.863
Subtracting 198 from 240 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 10:
The number 66 fits into 420 6 times, leaving a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 4691.8636
Deduct 396 from 420 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
The number 66 fits into 240 3 times, leaving a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 4691.86363
Subtract 198 from 240 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 12:
The number 66 fits into 420 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 4691.863636
Subtract 396 from 420 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 13:
If we divide 240 by 66, we get 3 and a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 4691.8636363
Deduct 198 from 240 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 14:
The number 66 fits into 420 6 times, leaving a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 4691.86363636
Subtracting 396 from 420 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 4691.86363636 and a remainder of 2.4e-08.