86123 ÷ 13 
Our goal is to divide 86123 by 13.

Going ahead to step 1:
If we divide 8 by 13, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 13

Advancing to step 2:
13 goes into 86 6 times with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 78 from 86, we get 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 13

Moving on to step 3:
13 goes into 81 6 times with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 66.0
Deduct 78 from 81 and we're left with 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 13

On to step 4:
32 divided by 13 is 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 662.0
If we take 26 away from 32, we end up with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 13

On to step 5:
If we divide 63 by 13, we get 4 and a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 6624.0
If we take 52 away from 63, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 6:
110 divided by 13 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 6624.8
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 6624.84
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 6624.846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 6624.8461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 10:
70 divided by 13 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 6624.84615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 6624.846153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 12:
When dividing 110 by 13, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 6624.8461538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
When dividing 60 by 13, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 6624.84615384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 6624.84615384 and a remainder of 8e-09.