We're dividing 37884 by 90 
We want to figure out the number of times 37884 can be divided by 90.

Let's proceed to step 1:
When dividing 3 by 90, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 90

Moving on to step 2:
When dividing 37 by 90, we get 0 with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Append the next digit (8) from the dividend to 37 and continue with: 378 / 90

Moving on to step 3:
When dividing 378 by 90, we get 4 with a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 18 after subtracting 360 from 378.
Take the next digit (8) from the dividend and append it to 18, then repeat: 188 / 90

Step 4:
90 goes into 188 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 42.0
Deduct 180 from 188 and we're left with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 90

Moving on to step 5:
When dividing 84 by 90, we get 0 with a remainder of 84.
Record the quotient 0 as the next digit in the result. 
Result so far: 420.0
If we take 0 away from 84, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 6:
If we divide 840 by 90, we get 9 and a remainder of 30.
Record the quotient 9 as the next digit in the result. 
Result so far: 420.9
Deduct 810 from 840 and we're left 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 7:
If we divide 300 by 90, we get 3 and a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 420.93
The remainder is 30 after subtracting 270 from 300.
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.
The next digit of our result is 3. 
Result so far: 420.933
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.

In conclusion, the division gives 420.933 with a balance of 0.003.