We're dividing 13005570 by 259 
The aim is to understand the frequency of 259 in 13005570.

Going ahead to step 1:
If we divide 1 by 259, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 259

Advancing to step 2:
When dividing 13 by 259, we get 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Append the next digit (0) from the dividend to 13 and continue with: 130 / 259

Advancing to step 3:
If we divide 130 by 259, we get 0 and a remainder of 130.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 130 leaves us with 130.
Bring next digit (0) of the dividend behind the 130 and repeat the process: 1300 / 259

Moving on to step 4:
If we divide 1300 by 259, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 5 after subtracting 1295 from 1300.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 259

Step 5:
55 divided by 259 is 0 with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 50.0
The remainder is 55 after subtracting 0 from 55.
Fetch the next digit (5) from the dividend, attach it to 55 and continue: 555 / 259

Advancing to step 6:
The number 259 fits into 555 2 times, leaving a remainder of 37.
The next digit of our result is 2. 
Result so far: 502.0
If we subtract 518 from 555, we get 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 259

Going ahead to step 7:
259 goes into 377 1 times with a remainder of 118.
Record the quotient 1 as the next digit in the result. 
Result so far: 5021.0
Subtracting 259 from 377 leaves us with 118.
Include the next digit (0) from the dividend after 118, then repeat: 1180 / 259

Let's proceed to step 8:
1180 divided by 259 is 4 with a remainder of 144.
Record the quotient 4 as the next digit in the result. 
Result so far: 50214.0
The remainder is 144 after subtracting 1036 from 1180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Moving on to step 9:
If we divide 1440 by 259, we get 5 and a remainder of 145.
Use 5 as the next digit of our solution. 
Result so far: 50214.5
If we take 1295 away from 1440, we end up with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Advancing to step 10:
259 can be fit into 1450 5 times, resulting in a remainder of 155.
Use 5 as the next digit of our solution. 
Result so far: 50214.55
Subtract 1295 from 1450 to get 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Our division results in 50214.55 with a remaining 0.155.