We look at the division of 635889 by 19 
Let's see how many times 19 fits into 635889.

Going ahead to step 1:
19 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 19

On to step 2:
19 goes into 63 3 times with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 57 away from 63, we end up with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 19

Let's proceed to step 3:
65 divided by 19 is 3 with a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
Subtracting 57 from 65 leaves us with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 19

Let's proceed to step 4:
19 goes into 88 4 times with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 334.0
Deduct 76 from 88 and we're left with 12.
Take the next digit (8) from the dividend and append it to 12, then repeat: 128 / 19

Step 5:
19 can be fit into 128 6 times, resulting in a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 3346.0
If we take 114 away from 128, we end up with 14.
Fetch the next digit (9) from the dividend, attach it to 14 and continue: 149 / 19

Step 6:
19 goes into 149 7 times with a remainder of 16.
The number 7 becomes the next digit in our result. 
Result so far: 33467.0
Deduct 133 from 149 and we're left 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.

Let's proceed to step 7:
19 goes into 160 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 33467.8
Deduct 152 from 160 and we're left 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.

Let's proceed to step 8:
19 goes into 80 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 33467.84
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.

On to step 9:
19 can be fit into 40 2 times, resulting in a remainder of 2.
The next digit of our result is 2. 
Result so far: 33467.842
If we subtract 38 from 40, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 33467.8421
Deduct 19 from 20 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
19 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 33467.8421
If we subtract 0 from 10, we 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.

Advancing to step 12:
If we divide 100 by 19, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 33467.842105
Subtracting 95 from 100 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
When dividing 50 by 19, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 33467.8421052
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.

Let's proceed to step 14:
When dividing 120 by 19, we get 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 33467.84210526
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 33467.84210526 and a remainder of 6e-09.