We look at the division of 643765 by 19 
We want to figure out the number of times 643765 can be divided by 19.

Let's proceed 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
If we take 0 away from 6, we end up with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 19

Going ahead to step 2:
The number 19 fits into 64 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 7 after subtracting 57 from 64.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 19

Let's proceed to step 3:
19 can be fit into 73 3 times, resulting in a remainder of 16.
The next digit of our result is 3. 
Result so far: 33.0
If we subtract 57 from 73, we get 16.
Include the next digit (7) from the dividend after 16, then repeat: 167 / 19

Going ahead to step 4:
19 can be fit into 167 8 times, resulting in a remainder of 15.
Use 8 as the next digit of our solution. 
Result so far: 338.0
Subtract 152 from 167 to get 15.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 19

Step 5:
156 divided by 19 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 3388.0
If we subtract 152 from 156, we get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 19

Step 6:
19 goes into 45 2 times with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 33882.0
If we take 38 away from 45, we end up 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 7:
When dividing 70 by 19, we get 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 33882.3
If we subtract 57 from 70, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 8:
130 divided by 19 is 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 33882.36
Deduct 114 from 130 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.

Step 9:
If we divide 160 by 19, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 33882.368
Subtracting 152 from 160 leaves us 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.

Going ahead to step 10:
The number 19 fits into 80 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 33882.3684
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.

Let's proceed to step 11:
If we divide 40 by 19, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 33882.36842
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.

Let's proceed to step 12:
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: 33882.368421
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.

Moving on to step 13:
10 divided by 19 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 33882.368421
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.

Step 14:
When dividing 100 by 19, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 33882.36842105
If we subtract 95 from 100, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 33882.36842105 with a balance of 5e-09.