We look at the division of 71034523 by 502 
The aim is to understand the frequency of 502 in 71034523.

Let's proceed to step 1:
When dividing 7 by 502, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 502

Advancing to step 2:
71 divided by 502 is 0 with a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 71 to get 71.
Append the next digit (0) from the dividend to 71 and continue with: 710 / 502

Step 3:
When dividing 710 by 502, we get 1 with a remainder of 208.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 502 from 710 to get 208.
Grab the next digit (3) from the dividend, add it to 208, then carry on: 2083 / 502

Moving on to step 4:
If we divide 2083 by 502, we get 4 and a remainder of 75.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtract 2008 from 2083 to get 75.
Fetch the next digit (4) from the dividend, attach it to 75 and continue: 754 / 502

Advancing to step 5:
When dividing 754 by 502, we get 1 with a remainder of 252.
The next digit of our result is 1. 
Result so far: 141.0
If we take 502 away from 754, we end up with 252.
Append the next digit (5) from the dividend to 252 and continue with: 2525 / 502

Step 6:
502 can be fit into 2525 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 1415.0
The remainder is 15 after subtracting 2510 from 2525.
Bring next digit (2) of the dividend behind the 15 and repeat the process: 152 / 502

Step 7:
502 goes into 152 0 times with a remainder of 152.
Put 0 as the next digit of the answer. 
Result so far: 14150.0
The remainder is 152 after subtracting 0 from 152.
Grab the next digit (3) from the dividend, add it to 152, then carry on: 1523 / 502

Going ahead to step 8:
502 goes into 1523 3 times with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 141503.0
Deduct 1506 from 1523 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 9:
170 divided by 502 is 0 with a remainder of 170.
Use 0 as the next digit of our solution. 
Result so far: 141503.0
Deduct 0 from 170 and we're left with 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Let's proceed to step 10:
The number 502 fits into 1700 3 times, leaving a remainder of 194.
Use 3 as the next digit of our solution. 
Result so far: 141503.03
Subtract 1506 from 1700 to get 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Step 11:
The number 502 fits into 1940 3 times, leaving a remainder of 434.
Record the quotient 3 as the next digit in the result. 
Result so far: 141503.033
Subtract 1506 from 1940 to get 434.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4340, and continue the process.

After the division, we end up with 141503.033 and a remainder of 0.0434.