We divide 122313 by 13
Let's see how many times 13 fits into 122313.

On to step 1:
The number 13 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 13

Advancing to step 2:
12 divided by 13 is 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 13

Going ahead to step 3:
The number 13 fits into 122 9 times, leaving a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 117 away from 122, we end up with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 13

Going ahead to step 4:
53 divided by 13 is 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 94.0
Deduct 52 from 53 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 13

Going ahead to step 5:
If we divide 11 by 13, we get 0 and a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 940.0
If we take 0 away from 11, we end up with 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 13

On to step 6:
13 goes into 113 8 times with a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 9408.0
Subtracting 104 from 113 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.

On to step 7:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 9408.6
Deduct 78 from 90 and we're left 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 8:
When dividing 120 by 13, we get 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 9408.69
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 9:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 9408.692
If we take 26 away from 30, we end up 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.

Going ahead to step 10:
40 divided by 13 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 9408.6923
Subtract 39 from 40 to 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.

Going ahead to step 11:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 9408.6923
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.

Advancing to step 12:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 9408.692307
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 13:
When dividing 90 by 13, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 9408.6923076
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 14:
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: 9408.69230769
Subtract 117 from 120 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.

In conclusion, the division gives 9408.69230769 with a balance of 3e-09.