We look at the division of 643221 by 13 
We want to divide 643221 by 13.

Advancing to step 1:
6 divided by 13 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 13

Moving on to step 2:
The number 13 fits into 64 4 times, leaving a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 52 away from 64, we end up with 12.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 13

Advancing to step 3:
13 goes into 123 9 times with a remainder of 6.
The next digit of our result is 9. 
Result so far: 49.0
Subtract 117 from 123 to get 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 13

On to step 4:
13 goes into 62 4 times with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 494.0
Subtract 52 from 62 to get 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 13

Advancing to step 5:
102 divided by 13 is 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 4947.0
Subtracting 91 from 102 leaves us with 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 13

Step 6:
The number 13 fits into 111 8 times, leaving a remainder of 7.
The next digit of our result is 8. 
Result so far: 49478.0
The remainder is 7 after subtracting 104 from 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 49478.5
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 49478.53
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 49478.538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 49478.5384
If we take 52 away from 60, we end up 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.

On to step 11:
If we divide 80 by 13, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 49478.53846
The remainder is 2 after subtracting 78 from 80.
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 12:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 49478.538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
If we divide 70 by 13, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 49478.5384615
If we subtract 65 from 70, 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.

On to step 14:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 49478.53846153
Subtract 39 from 50 to 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 49478.53846153 with a balance of 1.1e-08.