35000451 ÷ 503 
The aim is to understand the frequency of 503 in 35000451.

On to step 1:
If we divide 3 by 503, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 503

On to step 2:
35 divided by 503 is 0 with a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Grab the next digit (0) from the dividend, add it to 35, then carry on: 350 / 503

Going ahead to step 3:
The number 503 fits into 350 0 times, leaving a remainder of 350.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 350, we get 350.
Take the next digit (0) from the dividend and append it to 350, then repeat: 3500 / 503

Moving on to step 4:
If we divide 3500 by 503, we get 6 and a remainder of 482.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 3018 from 3500 and we're left with 482.
Bring next digit (0) of the dividend behind the 482 and repeat the process: 4820 / 503

Let's proceed to step 5:
The number 503 fits into 4820 9 times, leaving a remainder of 293.
Record the quotient 9 as the next digit in the result. 
Result so far: 69.0
Subtract 4527 from 4820 to get 293.
Bring next digit (4) of the dividend behind the 293 and repeat the process: 2934 / 503

Advancing to step 6:
503 goes into 2934 5 times with a remainder of 419.
Write down 5 as next digit of the result. 
Result so far: 695.0
The remainder is 419 after subtracting 2515 from 2934.
Include the next digit (5) from the dividend after 419, then repeat: 4195 / 503

Moving on to step 7:
If we divide 4195 by 503, we get 8 and a remainder of 171.
Write down 8 as next digit of the result. 
Result so far: 6958.0
Subtract 4024 from 4195 to get 171.
Take the next digit (1) from the dividend and append it to 171, then repeat: 1711 / 503

Step 8:
If we divide 1711 by 503, we get 3 and a remainder of 202.
The number 3 becomes the next digit in our result. 
Result so far: 69583.0
Deduct 1509 from 1711 and we're left with 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

Going ahead to step 9:
503 can be fit into 2020 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 69583.4
If we take 2012 away from 2020, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 10:
When dividing 80 by 503, we get 0 with a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 69583.4
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 11:
503 goes into 800 1 times with a remainder of 297.
Put 1 as the next digit of the answer. 
Result so far: 69583.401
Subtract 503 from 800 to get 297.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2970, and continue the process.

Advancing to step 12:
2970 divided by 503 is 5 with a remainder of 455.
The next digit of our result is 5. 
Result so far: 69583.4015
The remainder is 455 after subtracting 2515 from 2970.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4550, and continue the process.

Let's proceed to step 13:
When dividing 4550 by 503, we get 9 with a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 69583.40159
The remainder is 23 after subtracting 4527 from 4550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 14:
503 can be fit into 230 0 times, resulting in a remainder of 230.
Put 0 as the next digit of the answer. 
Result so far: 69583.40159
Subtracting 0 from 230 leaves us with 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

On to step 15:
503 can be fit into 2300 4 times, resulting in a remainder of 288.
The next digit of our result is 4. 
Result so far: 69583.4015904
Subtracting 2012 from 2300 leaves us with 288.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

Let's proceed to step 16:
The number 503 fits into 2880 5 times, leaving a remainder of 365.
The number 5 becomes the next digit in our result. 
Result so far: 69583.40159045
If we subtract 2515 from 2880, we get 365.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3650, and continue the process.

The final outcome is 69583.40159045, with a leftover of 3.65e-07.