We're dividing 2710666 by 506 
We're looking to find how many times 506 goes into 2710666.

Let's proceed to step 1:
506 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 506

Advancing to step 2:
If we divide 27 by 506, we get 0 and a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Bring next digit (1) of the dividend behind the 27 and repeat the process: 271 / 506

Let's proceed to step 3:
506 can be fit into 271 0 times, resulting in a remainder of 271.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 271, we get 271.
Include the next digit (0) from the dividend after 271, then repeat: 2710 / 506

Moving on to step 4:
2710 divided by 506 is 5 with a remainder of 180.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 2530 away from 2710, we end up with 180.
Bring next digit (6) of the dividend behind the 180 and repeat the process: 1806 / 506

On to step 5:
When dividing 1806 by 506, we get 3 with a remainder of 288.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
The remainder is 288 after subtracting 1518 from 1806.
Append the next digit (6) from the dividend to 288 and continue with: 2886 / 506

Let's proceed to step 6:
The number 506 fits into 2886 5 times, leaving a remainder of 356.
The next digit of our result is 5. 
Result so far: 535.0
If we take 2530 away from 2886, we end up with 356.
Take the next digit (6) from the dividend and append it to 356, then repeat: 3566 / 506

On to step 7:
If we divide 3566 by 506, we get 7 and a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 5357.0
If we take 3542 away from 3566, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 8:
240 divided by 506 is 0 with a remainder of 240.
The number 0 becomes the next digit in our result. 
Result so far: 5357.0
The remainder is 240 after subtracting 0 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

On to step 9:
When dividing 2400 by 506, we get 4 with a remainder of 376.
Write down 4 as next digit of the result. 
Result so far: 5357.04
Subtract 2024 from 2400 to get 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

Moving on to step 10:
When dividing 3760 by 506, we get 7 with a remainder of 218.
Use 7 as the next digit of our solution. 
Result so far: 5357.047
Deduct 3542 from 3760 and we're left with 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Advancing to step 11:
2180 divided by 506 is 4 with a remainder of 156.
Record the quotient 4 as the next digit in the result. 
Result so far: 5357.0474
If we take 2024 away from 2180, we end up with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Going ahead to step 12:
When dividing 1560 by 506, we get 3 with a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 5357.04743
If we take 1518 away from 1560, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 13:
The number 506 fits into 420 0 times, leaving a remainder of 420.
Put 0 as the next digit of the answer. 
Result so far: 5357.04743
If we take 0 away from 420, we end up with 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Let's proceed to step 14:
506 goes into 4200 8 times with a remainder of 152.
Use 8 as the next digit of our solution. 
Result so far: 5357.0474308
Deduct 4048 from 4200 and we're left with 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Advancing to step 15:
506 can be fit into 1520 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 5357.04743083
Subtracting 1518 from 1520 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 5357.04743083 with a remainder of 2e-09.