We look at the division of 416703 by 66 
We're looking to find how many times 66 goes into 416703.

Let's proceed to step 1:
4 divided by 66 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 66

Going ahead to step 2:
66 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 66

Advancing to step 3:
66 goes into 416 6 times with a remainder of 20.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 396 from 416 to get 20.
Include the next digit (7) from the dividend after 20, then repeat: 207 / 66

On to step 4:
207 divided by 66 is 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 63.0
Deduct 198 from 207 and we're left with 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 66

Step 5:
The number 66 fits into 90 1 times, leaving a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 631.0
Subtracting 66 from 90 leaves us with 24.
Take the next digit (3) from the dividend and append it to 24, then repeat: 243 / 66

Step 6:
243 divided by 66 is 3 with a remainder of 45.
Write down 3 as next digit of the result. 
Result so far: 6313.0
Deduct 198 from 243 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 7:
The number 66 fits into 450 6 times, leaving a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 6313.6
If we subtract 396 from 450, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 8:
When dividing 540 by 66, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6313.68
The remainder is 12 after subtracting 528 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
If we divide 120 by 66, we get 1 and a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 6313.681
Deduct 66 from 120 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 10:
540 divided by 66 is 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 6313.6818
Subtract 528 from 540 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
If we divide 120 by 66, we get 1 and a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 6313.68181
The remainder is 54 after subtracting 66 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 12:
66 goes into 540 8 times with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6313.681818
Subtract 528 from 540 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
66 goes into 120 1 times with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 6313.6818181
Subtracting 66 from 120 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 14:
The number 66 fits into 540 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6313.68181818
If we subtract 528 from 540, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 6313.68181818 and a remainder of 1.2e-08.