We look at the division of 636419 by 19 
We're looking to find how many times 19 goes into 636419.

On to step 1:
19 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 19

Step 2:
The number 19 fits into 63 3 times, leaving a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 57 from 63 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 19

On to step 3:
When dividing 66 by 19, we get 3 with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Subtracting 57 from 66 leaves us with 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 19

Let's proceed to step 4:
The number 19 fits into 94 4 times, leaving a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 334.0
Deduct 76 from 94 and we're left with 18.
Grab the next digit (1) from the dividend, add it to 18, then carry on: 181 / 19

Going ahead to step 5:
When dividing 181 by 19, we get 9 with a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 3349.0
If we subtract 171 from 181, we get 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 19

On to step 6:
The number 19 fits into 109 5 times, leaving a remainder of 14.
Write down 5 as next digit of the result. 
Result so far: 33495.0
If we take 95 away from 109, we end up 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 7:
19 goes into 140 7 times with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 33495.7
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 8:
70 divided by 19 is 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 33495.73
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.

Moving on to step 9:
130 divided by 19 is 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 33495.736
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.

Step 10:
When dividing 160 by 19, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 33495.7368
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
19 goes into 80 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 33495.73684
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
The number 19 fits into 40 2 times, leaving a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 33495.736842
If we take 38 away from 40, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 13:
When dividing 20 by 19, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 33495.7368421
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.

Let's proceed to step 14:
If we divide 10 by 19, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 33495.7368421
Subtract 0 from 10 to 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.

The final outcome is 33495.7368421, with a leftover of 1e-08.