We're dividing 70109716 by 509 
The aim is to understand the frequency of 509 in 70109716.

On to step 1:
The number 509 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 509

Moving on to step 2:
509 goes into 70 0 times with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 70 after subtracting 0 from 70.
Include the next digit (1) from the dividend after 70, then repeat: 701 / 509

Advancing to step 3:
When dividing 701 by 509, we get 1 with a remainder of 192.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 509 from 701 to get 192.
Fetch the next digit (0) from the dividend, attach it to 192 and continue: 1920 / 509

Advancing to step 4:
1920 divided by 509 is 3 with a remainder of 393.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 393 after subtracting 1527 from 1920.
Grab the next digit (9) from the dividend, add it to 393, then carry on: 3939 / 509

Moving on to step 5:
509 goes into 3939 7 times with a remainder of 376.
Write down 7 as next digit of the result. 
Result so far: 137.0
If we take 3563 away from 3939, we end up with 376.
Take the next digit (7) from the dividend and append it to 376, then repeat: 3767 / 509

Going ahead to step 6:
If we divide 3767 by 509, we get 7 and a remainder of 204.
The next digit of our result is 7. 
Result so far: 1377.0
Deduct 3563 from 3767 and we're left with 204.
Fetch the next digit (1) from the dividend, attach it to 204 and continue: 2041 / 509

Step 7:
509 can be fit into 2041 4 times, resulting in a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 13774.0
Subtracting 2036 from 2041 leaves us with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 509

Let's proceed to step 8:
509 can be fit into 56 0 times, resulting in a remainder of 56.
Record the quotient 0 as the next digit in the result. 
Result so far: 137740.0
Subtract 0 from 56 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 9:
The number 509 fits into 560 1 times, leaving a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 137740.1
Subtract 509 from 560 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 10:
The number 509 fits into 510 1 times, leaving a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 137740.11
Deduct 509 from 510 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 137740.11, and the remainder is 0.001.