125789 divided by 3 
We want to figure out the number of times 125789 can be divided by 3.

Let's proceed to step 1:
The number 3 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 3

Step 2:
3 goes into 12 4 times with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 12 from 12, we get 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 3

Advancing to step 3:
3 can be fit into 5 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 41.0
Subtracting 3 from 5 leaves us with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 3

Step 4:
3 can be fit into 27 9 times, resulting in a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 419.0
If we take 27 away from 27, we end up with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 3

On to step 5:
8 divided by 3 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 4192.0
Deduct 6 from 8 and we're left with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 3

Moving on to step 6:
When dividing 29 by 3, we get 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 41929.0
Subtracting 27 from 29 leaves us with 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:
If we divide 20 by 3, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 41929.6
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
If we divide 20 by 3, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 41929.66
Subtract 18 from 20 to 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.

Our division results in 41929.66 with a remaining 0.002.