We're dividing 383781 by 90 
We want to figure out the number of times 383781 can be divided by 90.

On to step 1:
90 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 90

Advancing to step 2:
The number 90 fits into 38 0 times, leaving a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 38 leaves us with 38.
Bring next digit (3) of the dividend behind the 38 and repeat the process: 383 / 90

Going ahead to step 3:
90 goes into 383 4 times with a remainder of 23.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 23 after subtracting 360 from 383.
Bring next digit (7) of the dividend behind the 23 and repeat the process: 237 / 90

Let's proceed to step 4:
When dividing 237 by 90, we get 2 with a remainder of 57.
The next digit of our result is 2. 
Result so far: 42.0
The remainder is 57 after subtracting 180 from 237.
Include the next digit (8) from the dividend after 57, then repeat: 578 / 90

Going ahead to step 5:
578 divided by 90 is 6 with a remainder of 38.
The next digit of our result is 6. 
Result so far: 426.0
Subtracting 540 from 578 leaves us with 38.
Bring next digit (1) of the dividend behind the 38 and repeat the process: 381 / 90

Step 6:
381 divided by 90 is 4 with a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 4264.0
Subtracting 360 from 381 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
When dividing 210 by 90, we get 2 with a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 4264.2
If we take 180 away from 210, 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.

Step 8:
The number 90 fits into 300 3 times, leaving a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 4264.23
Subtracting 270 from 300 leaves us 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.

Step 9:
90 goes into 300 3 times with a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 4264.233
Subtracting 270 from 300 leaves us 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.

Our division results in 4264.233 with a remaining 0.003.