We divide 632323 by 13
We want to figure out the number of times 632323 can be divided by 13.

Advancing to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 13

Going ahead to step 2:
If we divide 63 by 13, we get 4 and a remainder of 11.
The next digit of our result is 4. 
Result so far: 4.0
If we take 52 away from 63, we end up with 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 13

On to step 3:
When dividing 112 by 13, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 48.0
The remainder is 8 after subtracting 104 from 112.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 13

Going ahead to step 4:
13 can be fit into 83 6 times, resulting in a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 486.0
Subtract 78 from 83 to get 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 13

Step 5:
52 divided by 13 is 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 4864.0
Subtracting 52 from 52 leaves us with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 13

Advancing to step 6:
3 divided by 13 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 48640.0
Subtract 0 from 3 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
13 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 48640.2
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 8:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 48640.23
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 9:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 48640.23
Subtract 0 from 10 to 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.

Advancing to step 10:
If we divide 100 by 13, we get 7 and a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 48640.2307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 11:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 48640.23076
If we take 78 away from 90, we end up 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.

Advancing to step 12:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 48640.230769
If we subtract 117 from 120, we get 3.
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 13:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 48640.2307692
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.

Let's proceed to step 14:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 48640.23076923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 48640.23076923 with a balance of 1e-09.