516700 ÷ 66 
We're looking to find how many times 66 goes into 516700.

Going ahead to step 1:
The number 66 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 66

Moving on to step 2:
When dividing 51 by 66, we get 0 with a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Grab the next digit (6) from the dividend, add it to 51, then carry on: 516 / 66

Step 3:
When dividing 516 by 66, we get 7 with a remainder of 54.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 462 from 516, we get 54.
Include the next digit (7) from the dividend after 54, then repeat: 547 / 66

Advancing to step 4:
The number 66 fits into 547 8 times, leaving a remainder of 19.
Use 8 as the next digit of our solution. 
Result so far: 78.0
If we take 528 away from 547, we end up with 19.
Grab the next digit (0) from the dividend, add it to 19, then carry on: 190 / 66

Step 5:
If we divide 190 by 66, we get 2 and a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 782.0
Subtract 132 from 190 to get 58.
Append the next digit (0) from the dividend to 58 and continue with: 580 / 66

Step 6:
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: 7828.0
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 7:
520 divided by 66 is 7 with a remainder of 58.
Put 7 as the next digit of the answer. 
Result so far: 7828.7
Subtracting 462 from 520 leaves us 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.

On to step 8:
580 divided by 66 is 8 with a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 7828.78
If we take 528 away from 580, we end up 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:
66 goes into 520 7 times with a remainder of 58.
The next digit of our result is 7. 
Result so far: 7828.787
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.

Advancing 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: 7828.7878
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.

Let's proceed to step 11:
66 goes into 520 7 times with a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 7828.78787
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.

Let's proceed to step 12:
66 can be fit into 580 8 times, resulting in a remainder of 52.
The next digit of our result is 8. 
Result so far: 7828.787878
Subtract 528 from 580 to 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.

Step 13:
520 divided by 66 is 7 with a remainder of 58.
Record the quotient 7 as the next digit in the result. 
Result so far: 7828.7878787
Subtract 462 from 520 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.

Moving on to step 14:
66 goes into 580 8 times with a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 7828.78787878
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.

In conclusion, the division gives 7828.78787878 with a balance of 5.2e-08.