35724556 ÷ 509 
The aim is to understand the frequency of 509 in 35724556.

Let's proceed to step 1:
509 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 509

On to step 2:
35 divided by 509 is 0 with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Fetch the next digit (7) from the dividend, attach it to 35 and continue: 357 / 509

Step 3:
509 goes into 357 0 times with a remainder of 357.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 357 after subtracting 0 from 357.
Bring next digit (2) of the dividend behind the 357 and repeat the process: 3572 / 509

Advancing to step 4:
The number 509 fits into 3572 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 3563 from 3572, we get 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 509

Going ahead to step 5:
94 divided by 509 is 0 with a remainder of 94.
Put 0 as the next digit of the answer. 
Result so far: 70.0
Deduct 0 from 94 and we're left with 94.
Fetch the next digit (5) from the dividend, attach it to 94 and continue: 945 / 509

Step 6:
When dividing 945 by 509, we get 1 with a remainder of 436.
The next digit of our result is 1. 
Result so far: 701.0
Deduct 509 from 945 and we're left with 436.
Take the next digit (5) from the dividend and append it to 436, then repeat: 4365 / 509

Let's proceed to step 7:
509 goes into 4365 8 times with a remainder of 293.
Put 8 as the next digit of the answer. 
Result so far: 7018.0
Subtracting 4072 from 4365 leaves us with 293.
Bring next digit (6) of the dividend behind the 293 and repeat the process: 2936 / 509

Let's proceed to step 8:
If we divide 2936 by 509, we get 5 and a remainder of 391.
The number 5 becomes the next digit in our result. 
Result so far: 70185.0
If we take 2545 away from 2936, we end up with 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

Advancing to step 9:
When dividing 3910 by 509, we get 7 with a remainder of 347.
Put 7 as the next digit of the answer. 
Result so far: 70185.7
If we subtract 3563 from 3910, we get 347.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3470, and continue the process.

Advancing to step 10:
3470 divided by 509 is 6 with a remainder of 416.
Put 6 as the next digit of the answer. 
Result so far: 70185.76
Deduct 3054 from 3470 and we're left with 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

Going ahead to step 11:
When dividing 4160 by 509, we get 8 with a remainder of 88.
Record the quotient 8 as the next digit in the result. 
Result so far: 70185.768
Deduct 4072 from 4160 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 12:
The number 509 fits into 880 1 times, leaving a remainder of 371.
The next digit of our result is 1. 
Result so far: 70185.7681
Subtract 509 from 880 to get 371.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3710, and continue the process.

Going ahead to step 13:
When dividing 3710 by 509, we get 7 with a remainder of 147.
Put 7 as the next digit of the answer. 
Result so far: 70185.76817
If we take 3563 away from 3710, we end up with 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

Going ahead to step 14:
509 goes into 1470 2 times with a remainder of 452.
Write down 2 as next digit of the result. 
Result so far: 70185.768172
If we subtract 1018 from 1470, we get 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

Let's proceed to step 15:
The number 509 fits into 4520 8 times, leaving a remainder of 448.
The number 8 becomes the next digit in our result. 
Result so far: 70185.7681728
Subtracting 4072 from 4520 leaves us with 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

Advancing to step 16:
When dividing 4480 by 509, we get 8 with a remainder of 408.
Write down 8 as next digit of the result. 
Result so far: 70185.76817288
If we take 4072 away from 4480, we end up with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

The quotient of the division is 70185.76817288, and the remainder is 4.08e-07.