We look at the division of 405623 by 26 
We want to figure out the number of times 405623 can be divided by 26.

Let's proceed to step 1:
The number 26 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 26

Going ahead to step 2:
If we divide 40 by 26, we get 1 and a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 26 from 40 and we're left with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 26

Let's proceed to step 3:
If we divide 145 by 26, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 130 from 145 leaves us with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 26

Advancing to step 4:
26 goes into 156 6 times with a remainder of 0.
The next digit of our result is 6. 
Result so far: 156.0
If we subtract 156 from 156, we get 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 26

On to step 5:
26 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 1560.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 26

Moving on to step 6:
23 divided by 26 is 0 with a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 15600.0
If we subtract 0 from 23, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 7:
The number 26 fits into 230 8 times, leaving a remainder of 22.
The next digit of our result is 8. 
Result so far: 15600.8
Subtract 208 from 230 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
When dividing 220 by 26, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 15600.88
Subtract 208 from 220 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 15600.88, and the remainder is 0.012.