Let's divide 6663661 by 509
We're looking to find how many times 509 goes into 6663661.

On to step 1:
When dividing 6 by 509, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 509

Let's proceed to step 2:
509 goes into 66 0 times with a remainder of 66.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 66 after subtracting 0 from 66.
Include the next digit (6) from the dividend after 66, then repeat: 666 / 509

Advancing to step 3:
509 can be fit into 666 1 times, resulting in a remainder of 157.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 509 from 666 and we're left with 157.
Append the next digit (3) from the dividend to 157 and continue with: 1573 / 509

Going ahead to step 4:
When dividing 1573 by 509, we get 3 with a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 13.0
The remainder is 46 after subtracting 1527 from 1573.
Append the next digit (6) from the dividend to 46 and continue with: 466 / 509

Going ahead to step 5:
If we divide 466 by 509, we get 0 and a remainder of 466.
Put 0 as the next digit of the answer. 
Result so far: 130.0
If we take 0 away from 466, we end up with 466.
Bring next digit (6) of the dividend behind the 466 and repeat the process: 4666 / 509

Advancing to step 6:
4666 divided by 509 is 9 with a remainder of 85.
Record the quotient 9 as the next digit in the result. 
Result so far: 1309.0
Deduct 4581 from 4666 and we're left with 85.
Grab the next digit (1) from the dividend, add it to 85, then carry on: 851 / 509

Going ahead to step 7:
When dividing 851 by 509, we get 1 with a remainder of 342.
The number 1 becomes the next digit in our result. 
Result so far: 13091.0
If we subtract 509 from 851, we get 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

Step 8:
3420 divided by 509 is 6 with a remainder of 366.
Put 6 as the next digit of the answer. 
Result so far: 13091.6
The remainder is 366 after subtracting 3054 from 3420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Moving on to step 9:
If we divide 3660 by 509, we get 7 and a remainder of 97.
Write down 7 as next digit of the result. 
Result so far: 13091.67
If we subtract 3563 from 3660, we get 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Moving on to step 10:
970 divided by 509 is 1 with a remainder of 461.
Use 1 as the next digit of our solution. 
Result so far: 13091.671
Subtracting 509 from 970 leaves us with 461.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4610, and continue the process.

Let's proceed to step 11:
509 goes into 4610 9 times with a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 13091.6719
Subtracting 4581 from 4610 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 12:
If we divide 290 by 509, we get 0 and a remainder of 290.
The number 0 becomes the next digit in our result. 
Result so far: 13091.6719
The remainder is 290 after subtracting 0 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Advancing to step 13:
The number 509 fits into 2900 5 times, leaving a remainder of 355.
Record the quotient 5 as the next digit in the result. 
Result so far: 13091.671905
If we subtract 2545 from 2900, we get 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

Moving on to step 14:
When dividing 3550 by 509, we get 6 with a remainder of 496.
Put 6 as the next digit of the answer. 
Result so far: 13091.6719056
The remainder is 496 after subtracting 3054 from 3550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Step 15:
509 can be fit into 4960 9 times, resulting in a remainder of 379.
Put 9 as the next digit of the answer. 
Result so far: 13091.67190569
Deduct 4581 from 4960 and we're left with 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

After the division, we end up with 13091.67190569 and a remainder of 3.79e-07.