We're dividing 1829 by 90 
The aim is to understand the frequency of 90 in 1829.

Moving on to step 1:
If we divide 1 by 90, we get 0 and 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.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 90

Advancing to step 2:
18 divided by 90 is 0 with a remainder of 18.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 18 after subtracting 0 from 18.
Grab the next digit (2) from the dividend, add it to 18, then carry on: 182 / 90

Advancing to step 3:
182 divided by 90 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 180 from 182 to get 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 90

Let's proceed to step 4:
The number 90 fits into 29 0 times, leaving a remainder of 29.
Use 0 as the next digit of our solution. 
Result so far: 20.0
If we subtract 0 from 29, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 5:
290 divided by 90 is 3 with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 20.3
Subtracting 270 from 290 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 6:
The number 90 fits into 200 2 times, leaving a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 20.32
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
When dividing 200 by 90, we get 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 20.322
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 20.322 with a remainder of 0.002.