Let's divide 39160 by 90
Our goal is to divide 39160 by 90.

Let's proceed to step 1:
The number 90 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 90

Step 2:
90 can be fit into 39 0 times, resulting in a remainder of 39.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 39, we get 39.
Include the next digit (1) from the dividend after 39, then repeat: 391 / 90

Let's proceed to step 3:
90 can be fit into 391 4 times, resulting in a remainder of 31.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 31 after subtracting 360 from 391.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 90

On to step 4:
316 divided by 90 is 3 with a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 43.0
If we take 270 away from 316, we end up with 46.
Take the next digit (0) from the dividend and append it to 46, then repeat: 460 / 90

On to step 5:
If we divide 460 by 90, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 435.0
Deduct 450 from 460 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 6:
The number 90 fits into 100 1 times, leaving a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 435.1
The remainder is 10 after subtracting 90 from 100.
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 7:
90 can be fit into 100 1 times, resulting in a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 435.11
Deduct 90 from 100 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.

The final result is 435.11 with a remainder of 0.01.