We look at the division of 125834 by 3 
We want to divide 125834 by 3.

Let's proceed to step 1:
3 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 3

On to step 2:
3 can be fit into 12 4 times, resulting in a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 12 from 12 leaves us with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Moving on to step 3:
If we divide 5 by 3, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 41.0
Deduct 3 from 5 and we're left with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 3

Advancing to step 4:
28 divided by 3 is 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 419.0
Subtracting 27 from 28 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 3

Advancing to step 5:
The number 3 fits into 13 4 times, leaving a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 4194.0
The remainder is 1 after subtracting 12 from 13.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 3

On to step 6:
3 can be fit into 14 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 41944.0
The remainder is 2 after subtracting 12 from 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
If we divide 20 by 3, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 41944.6
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 41944.66
If we subtract 18 from 20, 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.

The final outcome is 41944.66, with a leftover of 0.002.