We're dividing 26623 by 6 
We're looking to find how many times 6 goes into 26623.

Step 1:
If we divide 2 by 6, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 6

Let's proceed to step 2:
26 divided by 6 is 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 24 from 26 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 6

Moving on to step 3:
6 can be fit into 26 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 44.0
Deduct 24 from 26 and we're left with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 6

Going ahead to step 4:
6 can be fit into 22 3 times, resulting in a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 443.0
If we subtract 18 from 22, we get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 6

Moving on to step 5:
43 divided by 6 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 4437.0
If we subtract 42 from 43, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 6:
6 goes into 10 1 times with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 4437.1
The remainder is 4 after subtracting 6 from 10.
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 7:
6 goes into 40 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 4437.16
If we take 36 away from 40, 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.

Step 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 4437.166
The remainder is 4 after subtracting 36 from 40.
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 result is 4437.166 with a remainder of 0.0004.