We look at the division of 125741 by 9 
Let's see how many times 9 fits into 125741.

Moving on to step 1:
9 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 9

Let's proceed to step 2:
If we divide 12 by 9, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 9 away from 12, we end up with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 9

Going ahead to step 3:
9 can be fit into 35 3 times, resulting in a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 8 after subtracting 27 from 35.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 9

Advancing to step 4:
The number 9 fits into 87 9 times, leaving a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 139.0
The remainder is 6 after subtracting 81 from 87.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 9

Moving on to step 5:
If we divide 64 by 9, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 1397.0
The remainder is 1 after subtracting 63 from 64.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 9

Advancing to step 6:
When dividing 11 by 9, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 13971.0
Deduct 9 from 11 and we're left 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 7:
If we divide 20 by 9, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 13971.2
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.

On to step 8:
20 divided by 9 is 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 13971.22
Deduct 18 from 20 and we're left 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.

After the division, we end up with 13971.22 and a remainder of 0.002.