We're dividing 130121 by 5 
The aim is to understand the frequency of 5 in 130121.

Let's proceed to step 1:
When dividing 1 by 5, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 5

Advancing to step 2:
5 can be fit into 13 2 times, resulting in a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 10 away from 13, we end up with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 5

Going ahead to step 3:
The number 5 fits into 30 6 times, leaving a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
If we take 30 away from 30, we end up with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 5

Moving on to step 4:
The number 5 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 260.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 5

Step 5:
5 can be fit into 12 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 2602.0
The remainder is 2 after subtracting 10 from 12.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 5

Step 6:
If we divide 21 by 5, we get 4 and a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 26024.0
Deduct 20 from 21 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.

Going ahead to step 7:
5 goes into 10 2 times with a remainder of 0.
The next digit of our result is 2. 
Result so far: 26024.2
If we take 10 away from 10, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
The number 5 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 26024.2
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
0 divided by 5 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 26024.2
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 26024.2 with a remaining 0.0.