We look at the division of 89997110 by 513 
The aim is to understand the frequency of 513 in 89997110.

Advancing to step 1:
The number 513 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 513

On to step 2:
The number 513 fits into 89 0 times, leaving a remainder of 89.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 89, we end up with 89.
Fetch the next digit (9) from the dividend, attach it to 89 and continue: 899 / 513

Let's proceed to step 3:
513 can be fit into 899 1 times, resulting in a remainder of 386.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 513 from 899 leaves us with 386.
Bring next digit (9) of the dividend behind the 386 and repeat the process: 3869 / 513

Moving on to step 4:
3869 divided by 513 is 7 with a remainder of 278.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtract 3591 from 3869 to get 278.
Grab the next digit (7) from the dividend, add it to 278, then carry on: 2787 / 513

Going ahead to step 5:
If we divide 2787 by 513, we get 5 and a remainder of 222.
The next digit of our result is 5. 
Result so far: 175.0
Deduct 2565 from 2787 and we're left with 222.
Grab the next digit (1) from the dividend, add it to 222, then carry on: 2221 / 513

Step 6:
When dividing 2221 by 513, we get 4 with a remainder of 169.
Put 4 as the next digit of the answer. 
Result so far: 1754.0
Subtract 2052 from 2221 to get 169.
Bring next digit (1) of the dividend behind the 169 and repeat the process: 1691 / 513

Advancing to step 7:
When dividing 1691 by 513, we get 3 with a remainder of 152.
Write down 3 as next digit of the result. 
Result so far: 17543.0
If we subtract 1539 from 1691, we get 152.
Bring next digit (0) of the dividend behind the 152 and repeat the process: 1520 / 513

Moving on to step 8:
When dividing 1520 by 513, we get 2 with a remainder of 494.
Write down 2 as next digit of the result. 
Result so far: 175432.0
The remainder is 494 after subtracting 1026 from 1520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

Moving on to step 9:
513 goes into 4940 9 times with a remainder of 323.
Write down 9 as next digit of the result. 
Result so far: 175432.9
Subtract 4617 from 4940 to get 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

Moving on to step 10:
When dividing 3230 by 513, we get 6 with a remainder of 152.
Use 6 as the next digit of our solution. 
Result so far: 175432.96
The remainder is 152 after subtracting 3078 from 3230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Advancing to step 11:
513 goes into 1520 2 times with a remainder of 494.
The next digit of our result is 2. 
Result so far: 175432.962
Deduct 1026 from 1520 and we're left with 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

Let's proceed to step 12:
The number 513 fits into 4940 9 times, leaving a remainder of 323.
The number 9 becomes the next digit in our result. 
Result so far: 175432.9629
If we subtract 4617 from 4940, we get 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

Let's proceed to step 13:
3230 divided by 513 is 6 with a remainder of 152.
Put 6 as the next digit of the answer. 
Result so far: 175432.96296
If we subtract 3078 from 3230, we get 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Step 14:
When dividing 1520 by 513, we get 2 with a remainder of 494.
Write down 2 as next digit of the result. 
Result so far: 175432.962962
If we take 1026 away from 1520, we end up with 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

Let's proceed to step 15:
The number 513 fits into 4940 9 times, leaving a remainder of 323.
Write down 9 as next digit of the result. 
Result so far: 175432.9629629
Subtracting 4617 from 4940 leaves us with 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

On to step 16:
3230 divided by 513 is 6 with a remainder of 152.
The next digit of our result is 6. 
Result so far: 175432.96296296
Deduct 3078 from 3230 and we're left with 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

The final result is 175432.96296296 with a remainder of 1.52e-07.