We're dividing 257642 by 8 
We want to figure out the number of times 257642 can be divided by 8.

Step 1:
8 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 8

Let's proceed to step 2:
If we divide 25 by 8, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 1 after subtracting 24 from 25.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 8

Advancing to step 3:
If we divide 17 by 8, we get 2 and a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 32.0
If we take 16 away from 17, we end up with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 8

Let's proceed to step 4:
8 can be fit into 16 2 times, resulting in a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 322.0
If we subtract 16 from 16, we get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 8

Advancing to step 5:
The number 8 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 3220.0
If we take 0 away from 4, we end up with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 8

Step 6:
The number 8 fits into 42 5 times, leaving a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 32205.0
If we subtract 40 from 42, we 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.

Step 7:
The number 8 fits into 20 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 32205.2
Deduct 16 from 20 and we're left 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:
The number 8 fits into 40 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 32205.25
Subtract 40 from 40 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.

On to step 9:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 32205.25
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.

Let's proceed to step 10:
When dividing 0 by 8, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 32205.25
If we subtract 0 from 0, we 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.

The final result is 32205.25 with a remainder of 0.0.