644703 ÷ 19 
We want to figure out the number of times 644703 can be divided by 19.

Step 1:
The number 19 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 19

Moving on to step 2:
When dividing 64 by 19, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 57 from 64 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 19

Let's proceed to step 3:
When dividing 74 by 19, we get 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 33.0
Subtract 57 from 74 to get 17.
Include the next digit (7) from the dividend after 17, then repeat: 177 / 19

Going ahead to step 4:
If we divide 177 by 19, we get 9 and a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 339.0
If we take 171 away from 177, we end up with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 19

Let's proceed to step 5:
19 goes into 60 3 times with a remainder of 3.
The next digit of our result is 3. 
Result so far: 3393.0
If we take 57 away from 60, we end up with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 19

Advancing to step 6:
19 goes into 33 1 times with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 33931.0
If we take 19 away from 33, 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.

Moving on to step 7:
19 goes into 140 7 times with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 33931.7
Deduct 133 from 140 and we're left 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.

On to step 8:
If we divide 70 by 19, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 33931.73
The remainder is 13 after subtracting 57 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 9:
When dividing 130 by 19, we get 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 33931.736
If we subtract 114 from 130, we 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.

Moving on to step 10:
19 goes into 160 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 33931.7368
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
If we divide 80 by 19, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 33931.73684
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 33931.736842
Deduct 38 from 40 and we're left 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.

Going ahead to step 13:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 33931.7368421
If we take 19 away from 20, we end up 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.

Step 14:
When dividing 10 by 19, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 33931.7368421
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.

The final result is 33931.7368421 with a remainder of 1e-08.