Let's divide 634383 by 19
We're looking to find how many times 19 goes into 634383.

On to step 1:
The number 19 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 19

Going ahead to step 2:
The number 19 fits into 63 3 times, leaving a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 57 from 63, we get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 19

Let's proceed to step 3:
The number 19 fits into 64 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
Deduct 57 from 64 and we're left with 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 19

Moving on to step 4:
If we divide 73 by 19, we get 3 and a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 333.0
Subtract 57 from 73 to get 16.
Take the next digit (8) from the dividend and append it to 16, then repeat: 168 / 19

Let's proceed to step 5:
168 divided by 19 is 8 with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 3338.0
If we subtract 152 from 168, we get 16.
Include the next digit (3) from the dividend after 16, then repeat: 163 / 19

Let's proceed to step 6:
19 can be fit into 163 8 times, resulting in a remainder of 11.
The next digit of our result is 8. 
Result so far: 33388.0
Deduct 152 from 163 and we're left 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 7:
When dividing 110 by 19, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 33388.5
Subtracting 95 from 110 leaves us with 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 8:
When dividing 150 by 19, we get 7 with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 33388.57
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 9:
When dividing 170 by 19, we get 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 33388.578
Deduct 152 from 170 and we're left 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.

Going ahead to step 10:
When dividing 180 by 19, we get 9 with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 33388.5789
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 11:
If we divide 90 by 19, we get 4 and a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 33388.57894
Subtracting 76 from 90 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 12:
19 goes into 140 7 times with a remainder of 7.
The next digit of our result is 7. 
Result so far: 33388.578947
Subtract 133 from 140 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
If we divide 70 by 19, we get 3 and a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 33388.5789473
If we take 57 away from 70, we end up 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.

Going ahead to step 14:
If we divide 130 by 19, we get 6 and a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 33388.57894736
Subtract 114 from 130 to get 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 33388.57894736 with a balance of 1.6e-08.