Let's divide 123581 by 13
Our goal is to divide 123581 by 13.

On to step 1:
13 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 13

Advancing to step 2:
13 can be fit into 12 0 times, resulting in a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 13

On to step 3:
The number 13 fits into 123 9 times, leaving a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 117 from 123 to get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 13

Advancing to step 4:
When dividing 65 by 13, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
Subtract 65 from 65 to get 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 13

Step 5:
When dividing 8 by 13, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 950.0
Subtract 0 from 8 to get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 13

On to step 6:
When dividing 81 by 13, we get 6 with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 9506.0
If we take 78 away from 81, we end up 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.

Moving on to step 7:
30 divided by 13 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 9506.2
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.

On to step 8:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 9506.23
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.

Moving on to step 9:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 9506.23
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.

Going ahead to step 10:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 9506.2307
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.

Let's proceed to step 11:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 9506.23076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
When dividing 120 by 13, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 9506.230769
If we take 117 away from 120, we end up 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.

Moving on to step 13:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 9506.2307692
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.

On to step 14:
When dividing 40 by 13, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 9506.23076923
Subtracting 39 from 40 leaves us 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.

After the division, we end up with 9506.23076923 and a remainder of 1e-09.