We're dividing 81228 by 13 
We want to figure out the number of times 81228 can be divided by 13.

Going ahead to step 1:
The number 13 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 13

Let's proceed to step 2:
81 divided by 13 is 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 78 from 81 leaves us with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 13

Let's proceed to step 3:
If we divide 32 by 13, we get 2 and a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Deduct 26 from 32 and we're left with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 13

Moving on to step 4:
13 can be fit into 62 4 times, resulting in a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 624.0
Deduct 52 from 62 and we're left with 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 13

Going ahead to step 5:
108 divided by 13 is 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 6248.0
Subtracting 104 from 108 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.

Step 6:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 6248.3
Deduct 39 from 40 and we're left 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.

Going ahead to step 7:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6248.3
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 6248.307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 9:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 6248.3076
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.

Let's proceed to step 10:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 6248.30769
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.

Let's proceed to step 11:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 6248.307692
Subtract 26 from 30 to 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.

Step 12:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 6248.3076923
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.

Let's proceed to step 13:
When dividing 10 by 13, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 6248.3076923
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 6248.3076923 with a remaining 1e-08.