109009 ÷ 99 
The aim is to understand the frequency of 99 in 109009.

Step 1:
The number 99 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 99

Advancing to step 2:
The number 99 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 99

Going ahead to step 3:
If we divide 109 by 99, we get 1 and a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 99 from 109 and we're left with 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 99

Let's proceed to step 4:
100 divided by 99 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 99 from 100 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 99

Moving on to step 5:
10 divided by 99 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 110.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 99

On to step 6:
When dividing 109 by 99, we get 1 with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1101.0
If we take 99 away from 109, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
99 goes into 100 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1101.1
If we take 99 away from 100, we end up 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.

Advancing to step 8:
The number 99 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 1101.1
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
100 divided by 99 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1101.101
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
10 divided by 99 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 1101.101
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
100 divided by 99 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1101.10101
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
10 divided by 99 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 1101.10101
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
99 goes into 100 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1101.1010101
If we take 99 away from 100, we end up 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.

Let's proceed to step 14:
If we divide 10 by 99, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 1101.1010101
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 1101.1010101, and the remainder is 1e-08.