987665 divided by 90 
We want to figure out the number of times 987665 can be divided by 90.

Moving on to step 1:
When dividing 9 by 90, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 90

On to step 2:
90 can be fit into 98 1 times, resulting in a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 90 from 98, we get 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 90

Moving on to step 3:
90 goes into 87 0 times with a remainder of 87.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 87 leaves us with 87.
Include the next digit (6) from the dividend after 87, then repeat: 876 / 90

On to step 4:
90 can be fit into 876 9 times, resulting in a remainder of 66.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
Subtract 810 from 876 to get 66.
Append the next digit (6) from the dividend to 66 and continue with: 666 / 90

On to step 5:
If we divide 666 by 90, we get 7 and a remainder of 36.
Write down 7 as next digit of the result. 
Result so far: 1097.0
Subtracting 630 from 666 leaves us with 36.
Append the next digit (5) from the dividend to 36 and continue with: 365 / 90

Going ahead to step 6:
90 can be fit into 365 4 times, resulting in a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 10974.0
If we subtract 360 from 365, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
50 divided by 90 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 10974.0
Subtracting 0 from 50 leaves us 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:
When dividing 500 by 90, we get 5 with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 10974.05
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
When dividing 500 by 90, we get 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 10974.055
Subtracting 450 from 500 leaves us 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.

The final outcome is 10974.055, with a leftover of 0.005.