We look at the division of 414464 by 66 
Our goal is to divide 414464 by 66.

Step 1:
66 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 66

Step 2:
66 goes into 41 0 times with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 66

Moving on to step 3:
The number 66 fits into 414 6 times, leaving a remainder of 18.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 396 from 414, we get 18.
Take the next digit (4) from the dividend and append it to 18, then repeat: 184 / 66

Step 4:
The number 66 fits into 184 2 times, leaving a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 62.0
Subtract 132 from 184 to get 52.
Bring next digit (6) of the dividend behind the 52 and repeat the process: 526 / 66

Advancing to step 5:
526 divided by 66 is 7 with a remainder of 64.
Write down 7 as next digit of the result. 
Result so far: 627.0
Subtract 462 from 526 to get 64.
Append the next digit (4) from the dividend to 64 and continue with: 644 / 66

Let's proceed to step 6:
644 divided by 66 is 9 with a remainder of 50.
The next digit of our result is 9. 
Result so far: 6279.0
Deduct 594 from 644 and we're left 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.

Step 7:
The number 66 fits into 500 7 times, leaving a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 6279.7
Subtract 462 from 500 to 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.

Moving on to step 8:
380 divided by 66 is 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 6279.75
Subtract 330 from 380 to 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.

Going ahead to step 9:
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: 6279.757
Subtracting 462 from 500 leaves us 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 10:
The number 66 fits into 380 5 times, leaving a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 6279.7575
Subtract 330 from 380 to 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.

Advancing to step 11:
500 divided by 66 is 7 with a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 6279.75757
Subtracting 462 from 500 leaves us 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.

Moving on to step 12:
If we divide 380 by 66, we get 5 and a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 6279.757575
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.

Let's proceed to step 13:
66 can be fit into 500 7 times, resulting in a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 6279.7575757
Subtract 462 from 500 to 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.

Moving on to step 14:
If we divide 380 by 66, we get 5 and a remainder of 50.
The next digit of our result is 5. 
Result so far: 6279.75757575
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.

The quotient of the division is 6279.75757575, and the remainder is 5e-08.