We look at the division of 87146 by 90 
We want to figure out the number of times 87146 can be divided by 90.

Going ahead to step 1:
90 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 90

Let's proceed to step 2:
90 goes into 87 0 times with a remainder of 87.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 87 leaves us with 87.
Fetch the next digit (1) from the dividend, attach it to 87 and continue: 871 / 90

Step 3:
871 divided by 90 is 9 with a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 810 from 871 to get 61.
Bring next digit (4) of the dividend behind the 61 and repeat the process: 614 / 90

Let's proceed to step 4:
90 can be fit into 614 6 times, resulting in a remainder of 74.
Put 6 as the next digit of the answer. 
Result so far: 96.0
Subtracting 540 from 614 leaves us with 74.
Grab the next digit (6) from the dividend, add it to 74, then carry on: 746 / 90

Going ahead to step 5:
When dividing 746 by 90, we get 8 with a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 968.0
Subtracting 720 from 746 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 6:
When dividing 260 by 90, we get 2 with a remainder of 80.
Put 2 as the next digit of the answer. 
Result so far: 968.2
Subtract 180 from 260 to 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.

Let's proceed to step 7:
800 divided by 90 is 8 with a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 968.28
Deduct 720 from 800 and we're left 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.

Step 8:
90 goes into 800 8 times with a remainder of 80.
Write down 8 as next digit of the result. 
Result so far: 968.288
The remainder is 80 after subtracting 720 from 800.
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 968.288 with a remainder of 0.008.