Let's divide 11865 by 90
We want to divide 11865 by 90.

Going ahead to step 1:
When dividing 1 by 90, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 90

Moving on to step 2:
11 divided by 90 is 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 90

Step 3:
118 divided by 90 is 1 with a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 90 from 118, we get 28.
Fetch the next digit (6) from the dividend, attach it to 28 and continue: 286 / 90

Step 4:
90 can be fit into 286 3 times, resulting in a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we take 270 away from 286, we end up with 16.
Grab the next digit (5) from the dividend, add it to 16, then carry on: 165 / 90

On to step 5:
The number 90 fits into 165 1 times, leaving a remainder of 75.
Use 1 as the next digit of our solution. 
Result so far: 131.0
Subtract 90 from 165 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 6:
If we divide 750 by 90, we get 8 and a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 131.8
The remainder is 30 after subtracting 720 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
When dividing 300 by 90, we get 3 with a remainder of 30.
The next digit of our result is 3. 
Result so far: 131.83
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
90 goes into 300 3 times with a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 131.833
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 131.833 and a remainder of 0.003.