256567 ÷ 3 
We want to figure out the number of times 256567 can be divided by 3.

On to step 1:
3 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 3

Step 2:
When dividing 25 by 3, we get 8 with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 24 from 25 and we're left with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Advancing to step 3:
3 can be fit into 16 5 times, resulting in a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
The remainder is 1 after subtracting 15 from 16.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 3

Step 4:
3 can be fit into 15 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 855.0
Subtracting 15 from 15 leaves us with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 3

Moving on to step 5:
When dividing 6 by 3, we get 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 8552.0
Deduct 6 from 6 and we're left with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 3

Step 6:
3 goes into 7 2 times with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 85522.0
If we subtract 6 from 7, 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.

Moving on to step 7:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 85522.3
Subtract 9 from 10 to 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.

Moving on to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 85522.33
Deduct 9 from 10 and we're left 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.

Our division results in 85522.33 with a remaining 0.001.