100323 ÷ 13 
We want to figure out the number of times 100323 can be divided by 13.

Let's proceed to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 13

On to step 2:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 13

Step 3:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 7.0
If we take 91 away from 100, we end up with 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 13

Let's proceed to step 4:
If we divide 93 by 13, we get 7 and a remainder of 2.
The next digit of our result is 7. 
Result so far: 77.0
Subtract 91 from 93 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 13

Going ahead to step 5:
If we divide 22 by 13, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 771.0
If we take 13 away from 22, we end up with 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 13

Moving on to step 6:
13 can be fit into 93 7 times, resulting in a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 7717.0
The remainder is 2 after subtracting 91 from 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
If we divide 20 by 13, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 7717.1
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 8:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 7717.15
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 9:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 7717.153
Deduct 39 from 50 and we're left with 11.
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 10:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 7717.1538
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.

Let's proceed to step 11:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 7717.15384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
When dividing 80 by 13, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 7717.153846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
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: 7717.1538461
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.

Moving on to step 14:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 7717.15384615
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.

In conclusion, the division gives 7717.15384615 with a balance of 5e-09.