225681 ÷ 13 
We want to divide 225681 by 13.

Advancing to step 1:
When dividing 2 by 13, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 13

Let's proceed to step 2:
The number 13 fits into 22 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 13 from 22 to get 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 13

Step 3:
13 goes into 95 7 times with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 17.0
The remainder is 4 after subtracting 91 from 95.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 13

Advancing to step 4:
When dividing 46 by 13, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 173.0
Subtracting 39 from 46 leaves us with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 13

Moving on to step 5:
13 can be fit into 78 6 times, resulting in a remainder of 0.
The next digit of our result is 6. 
Result so far: 1736.0
Deduct 78 from 78 and we're left with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 13

On to step 6:
13 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 17360.0
The remainder is 1 after subtracting 0 from 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 7:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 17360.0
If we subtract 0 from 10, we 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 8:
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: 17360.07
If we take 91 away from 100, we end up 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 9:
The number 13 fits into 90 6 times, leaving a remainder of 12.
The next digit of our result is 6. 
Result so far: 17360.076
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.

Going ahead to step 10:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 17360.0769
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.

Advancing to step 11:
30 divided by 13 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 17360.07692
If we subtract 26 from 30, we get 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 12:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 17360.076923
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.

Step 13:
If we divide 10 by 13, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 17360.076923
If we subtract 0 from 10, we 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 14:
100 divided by 13 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 17360.07692307
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.

In conclusion, the division gives 17360.07692307 with a balance of 9e-09.