We look at the division of 344291 by 66 
Our goal is to divide 344291 by 66.

Advancing to step 1:
If we divide 3 by 66, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 66

On to step 2:
66 can be fit into 34 0 times, resulting in a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Include the next digit (4) from the dividend after 34, then repeat: 344 / 66

Step 3:
344 divided by 66 is 5 with a remainder of 14.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 330 from 344 to get 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 66

Step 4:
When dividing 142 by 66, we get 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 52.0
Deduct 132 from 142 and we're left with 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 66

Going ahead to step 5:
When dividing 109 by 66, we get 1 with a remainder of 43.
Put 1 as the next digit of the answer. 
Result so far: 521.0
If we subtract 66 from 109, we get 43.
Bring next digit (1) of the dividend behind the 43 and repeat the process: 431 / 66

Going ahead to step 6:
When dividing 431 by 66, we get 6 with a remainder of 35.
Write down 6 as next digit of the result. 
Result so far: 5216.0
Subtracting 396 from 431 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 7:
If we divide 350 by 66, we get 5 and a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 5216.5
Deduct 330 from 350 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
66 goes into 200 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 5216.53
Subtracting 198 from 200 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
20 divided by 66 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 5216.53
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
66 can be fit into 200 3 times, resulting in a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 5216.5303
Subtract 198 from 200 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
66 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5216.5303
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 12:
When dividing 200 by 66, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 5216.530303
If we take 198 away from 200, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
66 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5216.530303
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 14:
66 can be fit into 200 3 times, resulting in a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 5216.53030303
If we take 198 away from 200, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 5216.53030303 and a remainder of 2e-09.