405344 ÷ 66 
Our goal is to divide 405344 by 66.

On to step 1:
When dividing 4 by 66, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 66

Let's proceed to step 2:
If we divide 40 by 66, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 40, we end up with 40.
Fetch the next digit (5) from the dividend, attach it to 40 and continue: 405 / 66

Let's proceed to step 3:
66 goes into 405 6 times with a remainder of 9.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 396 from 405 leaves us with 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 66

Moving on to step 4:
66 can be fit into 93 1 times, resulting in a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Deduct 66 from 93 and we're left with 27.
Include the next digit (4) from the dividend after 27, then repeat: 274 / 66

Advancing to step 5:
274 divided by 66 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 614.0
If we subtract 264 from 274, we get 10.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 66

Moving on to step 6:
104 divided by 66 is 1 with a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 6141.0
Deduct 66 from 104 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
66 goes into 380 5 times with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 6141.5
Subtracting 330 from 380 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
500 divided by 66 is 7 with a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 6141.57
Deduct 462 from 500 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 9:
When dividing 380 by 66, we get 5 with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 6141.575
The remainder is 50 after subtracting 330 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
If we divide 500 by 66, we get 7 and a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 6141.5757
If we subtract 462 from 500, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 11:
The number 66 fits into 380 5 times, leaving a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 6141.57575
If we take 330 away from 380, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 12:
The number 66 fits into 500 7 times, leaving a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 6141.575757
If we take 462 away from 500, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 13:
66 goes into 380 5 times with a remainder of 50.
The next digit of our result is 5. 
Result so far: 6141.5757575
If we subtract 330 from 380, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 14:
66 goes into 500 7 times with a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 6141.57575757
If we take 462 away from 500, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final result is 6141.57575757 with a remainder of 3.8e-08.