We look at the division of 159881 by 90 
We want to figure out the number of times 159881 can be divided by 90.

Advancing to step 1:
If we divide 1 by 90, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 90

Moving on to step 2:
When dividing 15 by 90, we get 0 with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Grab the next digit (9) from the dividend, add it to 15, then carry on: 159 / 90

Moving on to step 3:
90 can be fit into 159 1 times, resulting in a remainder of 69.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 90 from 159, we get 69.
Take the next digit (8) from the dividend and append it to 69, then repeat: 698 / 90

On to step 4:
698 divided by 90 is 7 with a remainder of 68.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 630 from 698 and we're left with 68.
Bring next digit (8) of the dividend behind the 68 and repeat the process: 688 / 90

Going ahead to step 5:
When dividing 688 by 90, we get 7 with a remainder of 58.
Record the quotient 7 as the next digit in the result. 
Result so far: 177.0
Subtract 630 from 688 to get 58.
Fetch the next digit (1) from the dividend, attach it to 58 and continue: 581 / 90

Moving on to step 6:
The number 90 fits into 581 6 times, leaving a remainder of 41.
Use 6 as the next digit of our solution. 
Result so far: 1776.0
Deduct 540 from 581 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
When dividing 410 by 90, we get 4 with a remainder of 50.
Write down 4 as next digit of the result. 
Result so far: 1776.4
If we take 360 away from 410, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
90 can be fit into 500 5 times, resulting in a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 1776.45
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
500 divided by 90 is 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 1776.455
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 1776.455 with a remaining 0.005.