We're dividing 684443 by 13 
Let's see how many times 13 fits into 684443.

Advancing to step 1:
6 divided by 13 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 13

Let's proceed to step 2:
If we divide 68 by 13, we get 5 and a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 3 after subtracting 65 from 68.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 13

Let's proceed to step 3:
The number 13 fits into 34 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 52.0
The remainder is 8 after subtracting 26 from 34.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 13

Going ahead to step 4:
13 can be fit into 84 6 times, resulting in a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 526.0
Deduct 78 from 84 and we're left with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 13

Going ahead to step 5:
The number 13 fits into 64 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 5264.0
Deduct 52 from 64 and we're left with 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 13

Advancing to step 6:
If we divide 123 by 13, we get 9 and a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 52649.0
Subtract 117 from 123 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.

Let's proceed to step 7:
If we divide 60 by 13, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 52649.4
Subtracting 52 from 60 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 8:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 52649.46
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.

Moving on to step 9:
If we divide 20 by 13, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 52649.461
If we subtract 13 from 20, we 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.

Step 10:
13 goes into 70 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 52649.4615
Deduct 65 from 70 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.

Let's proceed to step 11:
If we divide 50 by 13, we get 3 and a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 52649.46153
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.

Step 12:
If we divide 110 by 13, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 52649.461538
If we subtract 104 from 110, we 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.

Let's proceed to step 13:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 52649.4615384
Subtracting 52 from 60 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.

Moving on to step 14:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 52649.46153846
If we take 78 away from 80, we end up 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.

The final result is 52649.46153846 with a remainder of 2e-09.