We're dividing 410657 by 66 
We want to divide 410657 by 66.

Moving on to step 1:
If we divide 4 by 66, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 66

Going ahead to step 2:
If we divide 41 by 66, we get 0 and a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Bring next digit (0) of the dividend behind the 41 and repeat the process: 410 / 66

Going ahead to step 3:
66 goes into 410 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 396 from 410 leaves us with 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 66

Moving on to step 4:
146 divided by 66 is 2 with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
Subtracting 132 from 146 leaves us with 14.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 66

Going ahead to step 5:
When dividing 145 by 66, we get 2 with a remainder of 13.
The next digit of our result is 2. 
Result so far: 622.0
Subtract 132 from 145 to get 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 66

Advancing to step 6:
The number 66 fits into 137 2 times, leaving a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 6222.0
If we subtract 132 from 137, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
If we divide 50 by 66, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 6222.0
The remainder is 50 after subtracting 0 from 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 8:
500 divided by 66 is 7 with a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 6222.07
The remainder is 38 after subtracting 462 from 500.
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:
66 goes into 380 5 times with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 6222.075
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.

Moving on to step 10:
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: 6222.0757
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 11:
66 goes into 380 5 times with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 6222.07575
Deduct 330 from 380 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.

On to step 12:
If we divide 500 by 66, we get 7 and a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 6222.075757
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.

Let's proceed to step 13:
If we divide 380 by 66, we get 5 and a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 6222.0757575
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 14:
66 goes into 500 7 times with a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 6222.07575757
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.

The quotient of the division is 6222.07575757, and the remainder is 3.8e-08.