We're dividing 100038 by 90 
The aim is to understand the frequency of 90 in 100038.

Advancing to step 1:
1 divided by 90 is 0 with 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 / 90

Step 2:
When dividing 10 by 90, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 90

Let's proceed to step 3:
When dividing 100 by 90, we get 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 90 from 100 leaves us with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 90

On to step 4:
100 divided by 90 is 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtract 90 from 100 to get 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 90

Step 5:
When dividing 103 by 90, we get 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 111.0
If we take 90 away from 103, we end up with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 90

Let's proceed to step 6:
90 goes into 138 1 times with a remainder of 48.
The number 1 becomes the next digit in our result. 
Result so far: 1111.0
Subtract 90 from 138 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 7:
480 divided by 90 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 1111.5
Deduct 450 from 480 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
90 can be fit into 300 3 times, resulting in a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 1111.53
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
300 divided by 90 is 3 with a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 1111.533
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 1111.533 with a remainder of 0.003.