We divide 510461 by 66
We're looking to find how many times 66 goes into 510461.

Step 1:
5 divided by 66 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 66

Going ahead to step 2:
If we divide 51 by 66, we get 0 and a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Bring next digit (0) of the dividend behind the 51 and repeat the process: 510 / 66

Going ahead to step 3:
When dividing 510 by 66, we get 7 with a remainder of 48.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 462 from 510, we get 48.
Bring next digit (4) of the dividend behind the 48 and repeat the process: 484 / 66

On to step 4:
484 divided by 66 is 7 with a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 77.0
Subtracting 462 from 484 leaves us with 22.
Grab the next digit (6) from the dividend, add it to 22, then carry on: 226 / 66

Step 5:
If we divide 226 by 66, we get 3 and a remainder of 28.
Put 3 as the next digit of the answer. 
Result so far: 773.0
If we subtract 198 from 226, we get 28.
Fetch the next digit (1) from the dividend, attach it to 28 and continue: 281 / 66

Advancing to step 6:
66 can be fit into 281 4 times, resulting in a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 7734.0
Subtract 264 from 281 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
The number 66 fits into 170 2 times, leaving a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 7734.2
Subtract 132 from 170 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
66 goes into 380 5 times with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 7734.25
Deduct 330 from 380 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
66 can be fit into 500 7 times, resulting in a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 7734.257
Deduct 462 from 500 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 10:
66 goes into 380 5 times with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 7734.2575
Deduct 330 from 380 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 11:
The number 66 fits into 500 7 times, leaving a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 7734.25757
The remainder is 38 after subtracting 462 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 12:
When dividing 380 by 66, we get 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 7734.257575
Subtract 330 from 380 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 13:
66 can be fit into 500 7 times, resulting in a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 7734.2575757
If we subtract 462 from 500, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 14:
66 can be fit into 380 5 times, resulting in a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 7734.25757575
Deduct 330 from 380 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 7734.25757575 with a remainder of 5e-08.