We're dividing 514315 by 66 
We're looking to find how many times 66 goes into 514315.

Going ahead to step 1:
5 divided by 66 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 66

Advancing to step 2:
66 goes into 51 0 times with a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Append the next digit (4) from the dividend to 51 and continue with: 514 / 66

Moving on to step 3:
66 can be fit into 514 7 times, resulting in a remainder of 52.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 462 from 514 and we're left with 52.
Take the next digit (3) from the dividend and append it to 52, then repeat: 523 / 66

Advancing to step 4:
66 goes into 523 7 times with a remainder of 61.
Write down 7 as next digit of the result. 
Result so far: 77.0
Deduct 462 from 523 and we're left with 61.
Fetch the next digit (1) from the dividend, attach it to 61 and continue: 611 / 66

On to step 5:
66 can be fit into 611 9 times, resulting in a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 779.0
If we take 594 away from 611, we end up with 17.
Append the next digit (5) from the dividend to 17 and continue with: 175 / 66

Going ahead to step 6:
If we divide 175 by 66, we get 2 and a remainder of 43.
The next digit of our result is 2. 
Result so far: 7792.0
If we subtract 132 from 175, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 7:
66 goes into 430 6 times with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 7792.6
The remainder is 34 after subtracting 396 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
66 can be fit into 340 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 7792.65
Deduct 330 from 340 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
66 can be fit into 100 1 times, resulting in a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 7792.651
Subtract 66 from 100 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
340 divided by 66 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 7792.6515
Deduct 330 from 340 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
If we divide 100 by 66, we get 1 and a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 7792.65151
If we subtract 66 from 100, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 12:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 7792.651515
If we take 330 away from 340, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
The number 66 fits into 100 1 times, leaving a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 7792.6515151
Subtract 66 from 100 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 14:
66 goes into 340 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 7792.65151515
If we subtract 330 from 340, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 7792.65151515 and a remainder of 1e-08.