Let's divide 125744 by 71
We want to divide 125744 by 71.

Moving on to step 1:
1 divided by 71 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 71

On to step 2:
If we divide 12 by 71, we get 0 and a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 71

Advancing to step 3:
125 divided by 71 is 1 with a remainder of 54.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 71 from 125 to get 54.
Fetch the next digit (7) from the dividend, attach it to 54 and continue: 547 / 71

Moving on to step 4:
The number 71 fits into 547 7 times, leaving a remainder of 50.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtract 497 from 547 to get 50.
Take the next digit (4) from the dividend and append it to 50, then repeat: 504 / 71

Moving on to step 5:
504 divided by 71 is 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 177.0
The remainder is 7 after subtracting 497 from 504.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 71

Moving on to step 6:
71 can be fit into 74 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 1771.0
If we take 71 away from 74, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
30 divided by 71 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 1771.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
71 goes into 300 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 1771.04
Deduct 284 from 300 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
If we divide 160 by 71, we get 2 and a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 1771.042
The remainder is 18 after subtracting 142 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
If we divide 180 by 71, we get 2 and a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 1771.0422
If we take 142 away from 180, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 1771.0422 with a balance of 0.00038.