We're dividing 37119 by 90 
We want to divide 37119 by 90.

Step 1:
3 divided by 90 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 90

Going ahead to step 2:
The number 90 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Take the next digit (1) from the dividend and append it to 37, then repeat: 371 / 90

Moving on to step 3:
If we divide 371 by 90, we get 4 and a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 11 after subtracting 360 from 371.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 90

Moving on to step 4:
90 goes into 111 1 times with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 41.0
If we subtract 90 from 111, we get 21.
Take the next digit (9) from the dividend and append it to 21, then repeat: 219 / 90

Step 5:
90 can be fit into 219 2 times, resulting in a remainder of 39.
Write down 2 as next digit of the result. 
Result so far: 412.0
Deduct 180 from 219 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 6:
390 divided by 90 is 4 with a remainder of 30.
Record the quotient 4 as the next digit in the result. 
Result so far: 412.4
Deduct 360 from 390 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.

On to step 7:
When dividing 300 by 90, we get 3 with a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 412.43
Deduct 270 from 300 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.

Moving on to step 8:
When dividing 300 by 90, we get 3 with a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 412.433
Deduct 270 from 300 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.

The quotient of the division is 412.433, and the remainder is 0.003.