We're dividing 18161 by 90 
We're looking to find how many times 90 goes into 18161.

Going ahead to step 1:
1 divided by 90 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 90

Advancing to step 2:
If we divide 18 by 90, we get 0 and a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 18 and we're left with 18.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 90

Advancing to step 3:
90 can be fit into 181 2 times, resulting in a remainder of 1.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 180 from 181 to get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 90

Advancing to step 4:
16 divided by 90 is 0 with a remainder of 16.
The next digit of our result is 0. 
Result so far: 20.0
If we subtract 0 from 16, we get 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 90

Step 5:
The number 90 fits into 161 1 times, leaving a remainder of 71.
Record the quotient 1 as the next digit in the result. 
Result so far: 201.0
Subtract 90 from 161 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 6:
90 can be fit into 710 7 times, resulting in a remainder of 80.
The number 7 becomes the next digit in our result. 
Result so far: 201.7
If we subtract 630 from 710, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 7:
90 can be fit into 800 8 times, resulting in a remainder of 80.
The next digit of our result is 8. 
Result so far: 201.78
Subtracting 720 from 800 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 8:
If we divide 800 by 90, we get 8 and a remainder of 80.
The next digit of our result is 8. 
Result so far: 201.788
If we subtract 720 from 800, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The final result is 201.788 with a remainder of 0.008.