Let's divide 314971 by 66
We want to divide 314971 by 66.

On to step 1:
66 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 66

On to step 2:
The number 66 fits into 31 0 times, leaving a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Include the next digit (4) from the dividend after 31, then repeat: 314 / 66

Going ahead to step 3:
If we divide 314 by 66, we get 4 and a remainder of 50.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 264 away from 314, we end up with 50.
Include the next digit (9) from the dividend after 50, then repeat: 509 / 66

Moving on to step 4:
66 goes into 509 7 times with a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 47.0
The remainder is 47 after subtracting 462 from 509.
Include the next digit (7) from the dividend after 47, then repeat: 477 / 66

Step 5:
If we divide 477 by 66, we get 7 and a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 477.0
The remainder is 15 after subtracting 462 from 477.
Bring next digit (1) of the dividend behind the 15 and repeat the process: 151 / 66

Step 6:
151 divided by 66 is 2 with a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 4772.0
If we subtract 132 from 151, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
66 can be fit into 190 2 times, resulting in a remainder of 58.
The next digit of our result is 2. 
Result so far: 4772.2
Subtract 132 from 190 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 8:
The number 66 fits into 580 8 times, leaving a remainder of 52.
The next digit of our result is 8. 
Result so far: 4772.28
Subtracting 528 from 580 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 9:
If we divide 520 by 66, we get 7 and a remainder of 58.
The next digit of our result is 7. 
Result so far: 4772.287
Deduct 462 from 520 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 10:
If we divide 580 by 66, we get 8 and a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 4772.2878
The remainder is 52 after subtracting 528 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 11:
66 can be fit into 520 7 times, resulting in a remainder of 58.
Use 7 as the next digit of our solution. 
Result so far: 4772.28787
If we subtract 462 from 520, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 12:
66 can be fit into 580 8 times, resulting in a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 4772.287878
The remainder is 52 after subtracting 528 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 13:
520 divided by 66 is 7 with a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 4772.2878787
The remainder is 58 after subtracting 462 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 14:
66 can be fit into 580 8 times, resulting in a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 4772.28787878
If we subtract 528 from 580, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final outcome is 4772.28787878, with a leftover of 5.2e-08.