We look at the division of 344021 by 66 
We're looking to find how many times 66 goes into 344021.

Let's proceed to step 1:
When dividing 3 by 66, we get 0 with 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 (4) of the dividend behind the 3 and repeat the process: 34 / 66

Moving on to step 2:
66 can be fit into 34 0 times, resulting in a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Fetch the next digit (4) from the dividend, attach it to 34 and continue: 344 / 66

On to step 3:
344 divided by 66 is 5 with 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.
Bring next digit (0) of the dividend behind the 14 and repeat the process: 140 / 66

Let's proceed to step 4:
When dividing 140 by 66, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
If we subtract 132 from 140, we get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 66

Going ahead to step 5:
When dividing 82 by 66, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 521.0
Subtracting 66 from 82 leaves us with 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 66

Advancing to step 6:
The number 66 fits into 161 2 times, leaving a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 5212.0
If we take 132 away from 161, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
The number 66 fits into 290 4 times, leaving a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 5212.4
The remainder is 26 after subtracting 264 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
260 divided by 66 is 3 with a remainder of 62.
Use 3 as the next digit of our solution. 
Result so far: 5212.43
If we take 198 away from 260, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 9:
The number 66 fits into 620 9 times, leaving a remainder of 26.
Record the quotient 9 as the next digit in the result. 
Result so far: 5212.439
The remainder is 26 after subtracting 594 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 10:
66 goes into 260 3 times with a remainder of 62.
Use 3 as the next digit of our solution. 
Result so far: 5212.4393
If we take 198 away from 260, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 11:
If we divide 620 by 66, we get 9 and a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 5212.43939
The remainder is 26 after subtracting 594 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 12:
When dividing 260 by 66, we get 3 with a remainder of 62.
The number 3 becomes the next digit in our result. 
Result so far: 5212.439393
If we subtract 198 from 260, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 13:
When dividing 620 by 66, we get 9 with a remainder of 26.
Put 9 as the next digit of the answer. 
Result so far: 5212.4393939
If we subtract 594 from 620, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 14:
66 goes into 260 3 times with a remainder of 62.
Use 3 as the next digit of our solution. 
Result so far: 5212.43939393
The remainder is 62 after subtracting 198 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Our division results in 5212.43939393 with a remaining 6.2e-08.