344643 divided by 66 
We want to figure out the number of times 344643 can be divided by 66.

On to step 1:
When dividing 3 by 66, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 66

Going ahead to step 2:
If we divide 34 by 66, we get 0 and a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Grab the next digit (4) from the dividend, add it to 34, then carry on: 344 / 66

Step 3:
66 can be fit into 344 5 times, resulting in a remainder of 14.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 330 from 344 to get 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 66

Advancing to step 4:
146 divided by 66 is 2 with a remainder of 14.
The next digit of our result is 2. 
Result so far: 52.0
Subtract 132 from 146 to get 14.
Bring next digit (4) of the dividend behind the 14 and repeat the process: 144 / 66

Going ahead to step 5:
When dividing 144 by 66, we get 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 522.0
Subtract 132 from 144 to get 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 66

Step 6:
123 divided by 66 is 1 with a remainder of 57.
Write down 1 as next digit of the result. 
Result so far: 5221.0
The remainder is 57 after subtracting 66 from 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 7:
66 goes into 570 8 times with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 5221.8
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.

Advancing to step 8:
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: 5221.86
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.

Advancing to step 9:
When dividing 240 by 66, we get 3 with a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 5221.863
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.

Moving on to step 10:
If we divide 420 by 66, we get 6 and a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 5221.8636
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.

On to step 11:
66 can be fit into 240 3 times, resulting in a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 5221.86363
If we subtract 198 from 240, 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.

Going ahead to step 12:
66 goes into 420 6 times with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 5221.863636
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.

Going ahead to step 13:
If we divide 240 by 66, we get 3 and a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 5221.8636363
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.

On to step 14:
420 divided by 66 is 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 5221.86363636
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.

After the division, we end up with 5221.86363636 and a remainder of 2.4e-08.