86228 ÷ 13 
Let's see how many times 13 fits into 86228.

Step 1:
13 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 13

Moving on to step 2:
13 can be fit into 86 6 times, resulting in a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 78 from 86 and we're left with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 13

Step 3:
The number 13 fits into 82 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 66.0
Subtracting 78 from 82 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 13

Step 4:
13 can be fit into 42 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 663.0
The remainder is 3 after subtracting 39 from 42.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 13

Advancing to step 5:
When dividing 38 by 13, we get 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 6632.0
If we take 26 away from 38, we end up 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.

On to step 6:
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: 6632.9
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 6632.92
Subtracting 26 from 30 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.

Let's proceed to step 8:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 6632.923
If we take 39 away from 40, we end up 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 9:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 6632.923
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.

On to step 10:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 6632.92307
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.

Moving on to step 11:
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: 6632.923076
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 12:
13 goes into 120 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 6632.9230769
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.

Step 13:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 6632.92307692
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.

The final outcome is 6632.92307692, with a leftover of 4e-09.