We divide 646643 by 13
Our goal is to divide 646643 by 13.

Step 1:
6 divided by 13 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 13

Step 2:
64 divided by 13 is 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 52 away from 64, we end up with 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 13

On to step 3:
If we divide 126 by 13, we get 9 and a remainder of 9.
The next digit of our result is 9. 
Result so far: 49.0
If we subtract 117 from 126, we get 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 13

On to step 4:
When dividing 96 by 13, we get 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 497.0
Subtract 91 from 96 to get 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 13

Step 5:
The number 13 fits into 54 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 4974.0
If we subtract 52 from 54, we get 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 13

On to step 6:
When dividing 23 by 13, we get 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 49741.0
The remainder is 10 after subtracting 13 from 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
If we divide 100 by 13, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 49741.7
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 49741.76
Subtracting 78 from 90 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.

Going ahead to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 49741.769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 49741.7692
The remainder is 4 after subtracting 26 from 30.
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 11:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 49741.76923
If we take 39 away from 40, 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.

Advancing to step 12:
When dividing 10 by 13, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 49741.76923
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.

Step 13:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 49741.7692307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 14:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 49741.76923076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 49741.76923076 with a balance of 1.2e-08.