83193 ÷ 19 
We want to figure out the number of times 83193 can be divided by 19.

On to step 1:
The number 19 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 19

On to step 2:
The number 19 fits into 83 4 times, leaving a remainder of 7.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 76 from 83 leaves us with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 19

Let's proceed to step 3:
19 can be fit into 71 3 times, resulting in a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 43.0
Deduct 57 from 71 and we're left with 14.
Bring next digit (9) of the dividend behind the 14 and repeat the process: 149 / 19

Going ahead to step 4:
19 goes into 149 7 times with a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 437.0
Deduct 133 from 149 and we're left with 16.
Include the next digit (3) from the dividend after 16, then repeat: 163 / 19

Step 5:
If we divide 163 by 19, we get 8 and a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 4378.0
Subtracting 152 from 163 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 6:
If we divide 110 by 19, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 4378.5
If we subtract 95 from 110, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 4378.57
The remainder is 17 after subtracting 133 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 8:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 4378.578
If we take 152 away from 170, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
19 goes into 180 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 4378.5789
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 10:
19 can be fit into 90 4 times, resulting in a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 4378.57894
Subtract 76 from 90 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 11:
19 goes into 140 7 times with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 4378.578947
Subtracting 133 from 140 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
19 goes into 70 3 times with a remainder of 13.
The next digit of our result is 3. 
Result so far: 4378.5789473
Deduct 57 from 70 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 13:
If we divide 130 by 19, we get 6 and a remainder of 16.
The next digit of our result is 6. 
Result so far: 4378.57894736
If we take 114 away from 130, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 4378.57894736 with a balance of 1.6e-08.