We're dividing 402533 by 26 
Our goal is to divide 402533 by 26.

Moving on to step 1:
26 goes into 4 0 times with 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.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 26

Moving on to step 2:
40 divided by 26 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 26 from 40 to get 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 26

Step 3:
If we divide 142 by 26, we get 5 and a remainder of 12.
The next digit of our result is 5. 
Result so far: 15.0
Subtracting 130 from 142 leaves us with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 26

Step 4:
If we divide 125 by 26, we get 4 and a remainder of 21.
Put 4 as the next digit of the answer. 
Result so far: 154.0
If we subtract 104 from 125, we get 21.
Fetch the next digit (3) from the dividend, attach it to 21 and continue: 213 / 26

Let's proceed to step 5:
213 divided by 26 is 8 with a remainder of 5.
The next digit of our result is 8. 
Result so far: 1548.0
Deduct 208 from 213 and we're left with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 26

Moving on to step 6:
The number 26 fits into 53 2 times, leaving a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 15482.0
Subtracting 52 from 53 leaves us 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.

On to step 7:
26 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 15482.0
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 8:
If we divide 100 by 26, we get 3 and a remainder of 22.
The next digit of our result is 3. 
Result so far: 15482.03
Deduct 78 from 100 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 9:
The number 26 fits into 220 8 times, leaving a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 15482.038
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.

Advancing to step 10:
26 can be fit into 120 4 times, resulting in a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 15482.0384
If we take 104 away from 120, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 11:
26 goes into 160 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 15482.03846
If we take 156 away from 160, 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 12:
When dividing 40 by 26, we get 1 with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 15482.038461
Subtract 26 from 40 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 13:
The number 26 fits into 140 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 15482.0384615
If we subtract 130 from 140, we get 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 14:
When dividing 100 by 26, we get 3 with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 15482.03846153
Deduct 78 from 100 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 15482.03846153 with a balance of 2.2e-08.