We're dividing 510861 by 66 
We want to figure out the number of times 510861 can be divided by 66.

Let's proceed to step 1:
If we divide 5 by 66, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 66

Let's proceed to step 2:
If we divide 51 by 66, we get 0 and a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Include the next digit (0) from the dividend after 51, then repeat: 510 / 66

Moving on to step 3:
66 can be fit into 510 7 times, resulting in a remainder of 48.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 462 from 510 and we're left with 48.
Grab the next digit (8) from the dividend, add it to 48, then carry on: 488 / 66

Going ahead to step 4:
66 can be fit into 488 7 times, resulting in a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 77.0
If we take 462 away from 488, we end up with 26.
Fetch the next digit (6) from the dividend, attach it to 26 and continue: 266 / 66

On to step 5:
If we divide 266 by 66, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 774.0
Subtract 264 from 266 to get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 66

Let's proceed to step 6:
The number 66 fits into 21 0 times, leaving a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 7740.0
The remainder is 21 after subtracting 0 from 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
66 can be fit into 210 3 times, resulting in a remainder of 12.
The next digit of our result is 3. 
Result so far: 7740.3
Deduct 198 from 210 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
66 goes into 120 1 times with a remainder of 54.
The next digit of our result is 1. 
Result so far: 7740.31
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.

Advancing to step 9:
66 can be fit into 540 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 7740.318
If we take 528 away from 540, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 10:
When dividing 120 by 66, we get 1 with a remainder of 54.
The next digit of our result is 1. 
Result so far: 7740.3181
If we take 66 away from 120, we end up 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 11:
66 goes into 540 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 7740.31818
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.

Advancing to step 12:
66 goes into 120 1 times with a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 7740.318181
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.

Moving on to step 13:
If we divide 540 by 66, we get 8 and a remainder of 12.
The next digit of our result is 8. 
Result so far: 7740.3181818
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.

Advancing to step 14:
When dividing 120 by 66, we get 1 with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 7740.31818181
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.

In conclusion, the division gives 7740.31818181 with a balance of 5.4e-08.