We're dividing 37198 by 90 
Let's see how many times 90 fits into 37198.

Let's proceed to step 1:
If we divide 3 by 90, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 90

Moving on to step 2:
If we divide 37 by 90, we get 0 and a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Take the next digit (1) from the dividend and append it to 37, then repeat: 371 / 90

Let's proceed to step 3:
90 goes into 371 4 times with a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 360 away from 371, we end up with 11.
Take the next digit (9) from the dividend and append it to 11, then repeat: 119 / 90

Advancing to step 4:
90 can be fit into 119 1 times, resulting in a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 41.0
Subtract 90 from 119 to get 29.
Fetch the next digit (8) from the dividend, attach it to 29 and continue: 298 / 90

Step 5:
90 can be fit into 298 3 times, resulting in a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 413.0
Subtract 270 from 298 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 6:
90 can be fit into 280 3 times, resulting in a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 413.3
Subtract 270 from 280 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
90 can be fit into 100 1 times, resulting in a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 413.31
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
When dividing 100 by 90, we get 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 413.311
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 413.311, and the remainder is 0.001.