We look at the division of 7684622 by 509 
We want to figure out the number of times 7684622 can be divided by 509.

On to step 1:
When dividing 7 by 509, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 509

Moving on to step 2:
When dividing 76 by 509, we get 0 with a remainder of 76.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 76, we get 76.
Append the next digit (8) from the dividend to 76 and continue with: 768 / 509

Going ahead to step 3:
509 can be fit into 768 1 times, resulting in a remainder of 259.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 509 away from 768, we end up with 259.
Bring next digit (4) of the dividend behind the 259 and repeat the process: 2594 / 509

On to step 4:
When dividing 2594 by 509, we get 5 with a remainder of 49.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 2545 from 2594 and we're left with 49.
Grab the next digit (6) from the dividend, add it to 49, then carry on: 496 / 509

On to step 5:
If we divide 496 by 509, we get 0 and a remainder of 496.
Put 0 as the next digit of the answer. 
Result so far: 150.0
If we take 0 away from 496, we end up with 496.
Append the next digit (2) from the dividend to 496 and continue with: 4962 / 509

Let's proceed to step 6:
The number 509 fits into 4962 9 times, leaving a remainder of 381.
The next digit of our result is 9. 
Result so far: 1509.0
The remainder is 381 after subtracting 4581 from 4962.
Include the next digit (2) from the dividend after 381, then repeat: 3812 / 509

Advancing to step 7:
If we divide 3812 by 509, we get 7 and a remainder of 249.
Record the quotient 7 as the next digit in the result. 
Result so far: 15097.0
Subtract 3563 from 3812 to get 249.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2490, and continue the process.

Advancing to step 8:
The number 509 fits into 2490 4 times, leaving a remainder of 454.
The next digit of our result is 4. 
Result so far: 15097.4
The remainder is 454 after subtracting 2036 from 2490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Going ahead to step 9:
509 can be fit into 4540 8 times, resulting in a remainder of 468.
Put 8 as the next digit of the answer. 
Result so far: 15097.48
If we subtract 4072 from 4540, we get 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Step 10:
When dividing 4680 by 509, we get 9 with a remainder of 99.
Record the quotient 9 as the next digit in the result. 
Result so far: 15097.489
If we take 4581 away from 4680, we end up with 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 990, and continue the process.

Step 11:
If we divide 990 by 509, we get 1 and a remainder of 481.
Record the quotient 1 as the next digit in the result. 
Result so far: 15097.4891
If we subtract 509 from 990, we get 481.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4810, and continue the process.

Step 12:
4810 divided by 509 is 9 with a remainder of 229.
The next digit of our result is 9. 
Result so far: 15097.48919
Deduct 4581 from 4810 and we're left with 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

Moving on to step 13:
2290 divided by 509 is 4 with a remainder of 254.
The next digit of our result is 4. 
Result so far: 15097.489194
The remainder is 254 after subtracting 2036 from 2290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

Let's proceed to step 14:
2540 divided by 509 is 4 with a remainder of 504.
Write down 4 as next digit of the result. 
Result so far: 15097.4891944
Subtract 2036 from 2540 to get 504.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5040, and continue the process.

After the division, we end up with 15097.4891944 and a remainder of 5.04e-06.