We look at the division of 834643 by 13 
Let's see how many times 13 fits into 834643.

Going ahead to step 1:
If we divide 8 by 13, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 13

Let's proceed to step 2:
13 can be fit into 83 6 times, resulting in a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 5 after subtracting 78 from 83.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 13

On to step 3:
13 can be fit into 54 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 64.0
Subtracting 52 from 54 leaves us with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 13

Step 4:
13 can be fit into 26 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 642.0
If we subtract 26 from 26, we get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 13

Advancing to step 5:
If we divide 4 by 13, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 6420.0
If we take 0 away from 4, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 13

Advancing to step 6:
13 goes into 43 3 times with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 64203.0
Subtract 39 from 43 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
13 goes into 40 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 64203.3
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 64203.3
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.

Going ahead to step 9:
When dividing 100 by 13, we get 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 64203.307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 64203.3076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 64203.30769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 64203.307692
Subtracting 26 from 30 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.

On to step 13:
If we divide 40 by 13, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 64203.3076923
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.

Moving on to step 14:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 64203.3076923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 64203.3076923 with a balance of 1e-08.