We're dividing 86638 by 26 
Let's see how many times 26 fits into 86638.

On to step 1:
The number 26 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 26

Moving on to step 2:
26 goes into 86 3 times with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 8 after subtracting 78 from 86.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 26

Advancing to step 3:
The number 26 fits into 86 3 times, leaving a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 33.0
Deduct 78 from 86 and we're left with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 26

Going ahead to step 4:
When dividing 83 by 26, we get 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 333.0
The remainder is 5 after subtracting 78 from 83.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 26

Going ahead to step 5:
If we divide 58 by 26, we get 2 and a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 3332.0
If we subtract 52 from 58, we 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 6:
60 divided by 26 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 3332.2
Subtract 52 from 60 to get 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 7:
26 can be fit into 80 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 3332.23
Subtract 78 from 80 to 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.

Moving on to step 8:
If we divide 20 by 26, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 3332.23
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
The number 26 fits into 200 7 times, leaving a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 3332.2307
The remainder is 18 after subtracting 182 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
26 can be fit into 180 6 times, resulting in a remainder of 24.
The next digit of our result is 6. 
Result so far: 3332.23076
The remainder is 24 after subtracting 156 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
26 can be fit into 240 9 times, resulting in a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 3332.230769
Subtract 234 from 240 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 12:
If we divide 60 by 26, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 3332.2307692
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.

On to step 13:
26 goes into 80 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 3332.23076923
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 3332.23076923 with a remainder of 2e-09.