17889918 ÷ 509 
The aim is to understand the frequency of 509 in 17889918.

Let's proceed to step 1:
If we divide 1 by 509, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 509

Going ahead to step 2:
509 can be fit into 17 0 times, resulting in a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 509

Going ahead to step 3:
When dividing 178 by 509, we get 0 with a remainder of 178.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 178, we get 178.
Include the next digit (8) from the dividend after 178, then repeat: 1788 / 509

On to step 4:
When dividing 1788 by 509, we get 3 with a remainder of 261.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 1527 from 1788 and we're left with 261.
Append the next digit (9) from the dividend to 261 and continue with: 2619 / 509

Going ahead to step 5:
The number 509 fits into 2619 5 times, leaving a remainder of 74.
The next digit of our result is 5. 
Result so far: 35.0
Subtracting 2545 from 2619 leaves us with 74.
Include the next digit (9) from the dividend after 74, then repeat: 749 / 509

On to step 6:
When dividing 749 by 509, we get 1 with a remainder of 240.
Use 1 as the next digit of our solution. 
Result so far: 351.0
If we take 509 away from 749, we end up with 240.
Bring next digit (1) of the dividend behind the 240 and repeat the process: 2401 / 509

On to step 7:
509 can be fit into 2401 4 times, resulting in a remainder of 365.
The next digit of our result is 4. 
Result so far: 3514.0
Subtract 2036 from 2401 to get 365.
Include the next digit (8) from the dividend after 365, then repeat: 3658 / 509

Let's proceed to step 8:
The number 509 fits into 3658 7 times, leaving a remainder of 95.
Use 7 as the next digit of our solution. 
Result so far: 35147.0
Subtract 3563 from 3658 to get 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Moving on to step 9:
If we divide 950 by 509, we get 1 and a remainder of 441.
Put 1 as the next digit of the answer. 
Result so far: 35147.1
If we take 509 away from 950, we end up with 441.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4410, and continue the process.

Going ahead to step 10:
The number 509 fits into 4410 8 times, leaving a remainder of 338.
Record the quotient 8 as the next digit in the result. 
Result so far: 35147.18
Subtracting 4072 from 4410 leaves us with 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

On to step 11:
When dividing 3380 by 509, we get 6 with a remainder of 326.
Put 6 as the next digit of the answer. 
Result so far: 35147.186
Deduct 3054 from 3380 and we're left with 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

On to step 12:
If we divide 3260 by 509, we get 6 and a remainder of 206.
Write down 6 as next digit of the result. 
Result so far: 35147.1866
If we take 3054 away from 3260, we end up with 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

In conclusion, the division gives 35147.1866 with a balance of 0.00206.