We're dividing 635371 by 19 
We want to figure out the number of times 635371 can be divided by 19.

Let's proceed to step 1:
When dividing 6 by 19, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 19

Going ahead to step 2:
19 can be fit into 63 3 times, resulting in a remainder of 6.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 57 from 63, we get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 19

Let's proceed to step 3:
When dividing 65 by 19, we get 3 with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 33.0
If we subtract 57 from 65, we get 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 19

Step 4:
If we divide 83 by 19, we get 4 and a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 334.0
The remainder is 7 after subtracting 76 from 83.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 19

On to step 5:
19 can be fit into 77 4 times, resulting in a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 3344.0
The remainder is 1 after subtracting 76 from 77.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 19

Moving on to step 6:
19 can be fit into 11 0 times, resulting in a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 33440.0
The remainder is 11 after subtracting 0 from 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

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: 33440.5
Deduct 95 from 110 and we're left 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.

Advancing to step 8:
19 can be fit into 150 7 times, resulting in a remainder of 17.
The next digit of our result is 7. 
Result so far: 33440.57
Deduct 133 from 150 and we're left with 17.
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 9:
170 divided by 19 is 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 33440.578
If we subtract 152 from 170, we get 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 10:
If we divide 180 by 19, we get 9 and a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 33440.5789
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.

Moving on to step 11:
If we divide 90 by 19, we get 4 and a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 33440.57894
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.

Let's proceed to step 12:
When dividing 140 by 19, we get 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 33440.578947
If we subtract 133 from 140, we 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.

Going ahead to step 13:
If we divide 70 by 19, we get 3 and a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 33440.5789473
Subtracting 57 from 70 leaves us 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.

Moving on to step 14:
19 can be fit into 130 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 33440.57894736
Subtracting 114 from 130 leaves us 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.

Our division results in 33440.57894736 with a remaining 1.6e-08.