We're dividing 38675 by 90 
Our goal is to divide 38675 by 90.

Step 1:
3 divided by 90 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 90

Going ahead to step 2:
90 goes into 38 0 times with a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 38 after subtracting 0 from 38.
Bring next digit (6) of the dividend behind the 38 and repeat the process: 386 / 90

On to step 3:
90 goes into 386 4 times with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 360 from 386, we get 26.
Include the next digit (7) from the dividend after 26, then repeat: 267 / 90

Moving on to step 4:
When dividing 267 by 90, we get 2 with a remainder of 87.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Deduct 180 from 267 and we're left with 87.
Grab the next digit (5) from the dividend, add it to 87, then carry on: 875 / 90

Moving on to step 5:
90 can be fit into 875 9 times, resulting in a remainder of 65.
The number 9 becomes the next digit in our result. 
Result so far: 429.0
If we subtract 810 from 875, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 6:
90 goes into 650 7 times with a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 429.7
If we take 630 away from 650, we end up 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 7:
90 goes into 200 2 times with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 429.72
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.

Advancing to step 8:
200 divided by 90 is 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 429.722
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.

In conclusion, the division gives 429.722 with a balance of 0.002.