We're dividing 259374 by 3 
Let's see how many times 3 fits into 259374.

Going ahead to step 1:
When dividing 2 by 3, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 3

On to step 2:
The number 3 fits into 25 8 times, leaving a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 1 after subtracting 24 from 25.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 3

Going ahead to step 3:
19 divided by 3 is 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 86.0
If we take 18 away from 19, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 3

Moving on to step 4:
If we divide 13 by 3, we get 4 and a remainder of 1.
The next digit of our result is 4. 
Result so far: 864.0
If we take 12 away from 13, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 3

On to step 5:
17 divided by 3 is 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 8645.0
Subtracting 15 from 17 leaves us with 2.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 3

Advancing to step 6:
24 divided by 3 is 8 with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 86458.0
The remainder is 0 after subtracting 24 from 24.
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 7:
3 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 86458.0
If we take 0 away from 0, we end up 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 8:
3 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: 86458.0
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.

Our division results in 86458.0 with a remaining 0.0.