198984 ÷ 19 
Our goal is to divide 198984 by 19.

Moving on to step 1:
When dividing 1 by 19, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 19

Advancing to step 2:
19 divided by 19 is 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 19 from 19 and we're left with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 19

Going ahead to step 3:
8 divided by 19 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 8, we get 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 19

On to step 4:
The number 19 fits into 89 4 times, leaving a remainder of 13.
Record the quotient 4 as the next digit in the result. 
Result so far: 104.0
Deduct 76 from 89 and we're left with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 19

Moving on to step 5:
19 goes into 138 7 times with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 1047.0
The remainder is 5 after subtracting 133 from 138.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 19

Advancing to step 6:
19 can be fit into 54 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 10472.0
The remainder is 16 after subtracting 38 from 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
If we divide 160 by 19, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 10472.8
Subtracting 152 from 160 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
19 goes into 80 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 10472.84
Subtracting 76 from 80 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
40 divided by 19 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 10472.842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
When dividing 20 by 19, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 10472.8421
Subtract 19 from 20 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 11:
10 divided by 19 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 10472.8421
The remainder is 10 after subtracting 0 from 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 12:
When dividing 100 by 19, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 10472.842105
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
19 goes into 50 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 10472.8421052
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 14:
120 divided by 19 is 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 10472.84210526
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 10472.84210526 with a balance of 6e-09.