We look at the division of 125461 by 71 
We're looking to find how many times 71 goes into 125461.

On to step 1:
71 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 71

Moving on to step 2:
71 can be fit into 12 0 times, resulting in a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 71

Moving on to step 3:
The number 71 fits into 125 1 times, leaving a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 71 away from 125, we end up with 54.
Append the next digit (4) from the dividend to 54 and continue with: 544 / 71

Going ahead to step 4:
544 divided by 71 is 7 with a remainder of 47.
Put 7 as the next digit of the answer. 
Result so far: 17.0
The remainder is 47 after subtracting 497 from 544.
Append the next digit (6) from the dividend to 47 and continue with: 476 / 71

Advancing to step 5:
476 divided by 71 is 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 176.0
If we take 426 away from 476, we end up with 50.
Take the next digit (1) from the dividend and append it to 50, then repeat: 501 / 71

On to step 6:
If we divide 501 by 71, we get 7 and a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 1767.0
If we take 497 away from 501, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
If we divide 40 by 71, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 1767.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
The number 71 fits into 400 5 times, leaving a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 1767.05
The remainder is 45 after subtracting 355 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 9:
71 can be fit into 450 6 times, resulting in a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 1767.056
Deduct 426 from 450 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
240 divided by 71 is 3 with a remainder of 27.
The next digit of our result is 3. 
Result so far: 1767.0563
If we take 213 away from 240, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 11:
If we divide 270 by 71, we get 3 and a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 1767.05633
If we take 213 away from 270, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

In conclusion, the division gives 1767.05633 with a balance of 5.7e-05.