629721 divided by 19 
Our goal is to divide 629721 by 19.

Step 1:
6 divided by 19 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 19

Moving on to step 2:
62 divided by 19 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 57 away from 62, we end up with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 19

Advancing to step 3:
19 goes into 59 3 times with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 33.0
Subtract 57 from 59 to get 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 19

Going ahead to step 4:
19 goes into 27 1 times with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 331.0
If we take 19 away from 27, we end up with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 19

Advancing to step 5:
19 goes into 82 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 3314.0
If we subtract 76 from 82, we get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 19

Step 6:
If we divide 61 by 19, we get 3 and a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 33143.0
Subtracting 57 from 61 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.

Let's proceed to step 7:
19 can be fit into 40 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 33143.2
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
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: 33143.21
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.

Advancing to step 9:
19 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 33143.21
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
19 goes into 100 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 33143.2105
Deduct 95 from 100 and we're left 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.

Step 11:
50 divided by 19 is 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 33143.21052
Subtracting 38 from 50 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
19 goes into 120 6 times with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 33143.210526
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
19 goes into 60 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 33143.2105263
The remainder is 3 after subtracting 57 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 14:
19 can be fit into 30 1 times, resulting in a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 33143.21052631
If we subtract 19 from 30, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 33143.21052631 with a balance of 1.1e-08.