We're dividing 262566 by 5 
We want to figure out the number of times 262566 can be divided by 5.

Moving on to step 1:
5 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 5

Going ahead to step 2:
5 can be fit into 26 5 times, resulting in a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 1 after subtracting 25 from 26.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 5

Advancing to step 3:
5 goes into 12 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 52.0
Subtract 10 from 12 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 5

Going ahead to step 4:
The number 5 fits into 25 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 525.0
If we take 25 away from 25, we end up with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 5

Moving on to step 5:
5 can be fit into 6 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 5251.0
If we subtract 5 from 6, we get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 5

Let's proceed to step 6:
If we divide 16 by 5, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 52513.0
If we take 15 away from 16, we end up 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.

Let's proceed to step 7:
The number 5 fits into 10 2 times, leaving a remainder of 0.
The next digit of our result is 2. 
Result so far: 52513.2
The remainder is 0 after subtracting 10 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
When dividing 0 by 5, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 52513.2
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
When dividing 0 by 5, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 52513.2
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 52513.2 and a remainder of 0.0.