We're dividing 126471 by 65 
We want to divide 126471 by 65.

Advancing to step 1:
If we divide 1 by 65, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 65

Moving on to step 2:
65 goes into 12 0 times with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 65

Step 3:
65 can be fit into 126 1 times, resulting in a remainder of 61.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 65 from 126 and we're left with 61.
Grab the next digit (4) from the dividend, add it to 61, then carry on: 614 / 65

Let's proceed to step 4:
When dividing 614 by 65, we get 9 with a remainder of 29.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Deduct 585 from 614 and we're left with 29.
Fetch the next digit (7) from the dividend, attach it to 29 and continue: 297 / 65

Advancing to step 5:
If we divide 297 by 65, we get 4 and a remainder of 37.
Record the quotient 4 as the next digit in the result. 
Result so far: 194.0
If we take 260 away from 297, we end up with 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 65

Advancing to step 6:
If we divide 371 by 65, we get 5 and a remainder of 46.
The next digit of our result is 5. 
Result so far: 1945.0
If we take 325 away from 371, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 7:
460 divided by 65 is 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 1945.7
If we subtract 455 from 460, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
The number 65 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 1945.7
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
65 can be fit into 500 7 times, resulting in a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 1945.707
If we subtract 455 from 500, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 10:
65 goes into 450 6 times with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 1945.7076
Subtracting 390 from 450 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 11:
If we divide 600 by 65, we get 9 and a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 1945.70769
Deduct 585 from 600 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
65 can be fit into 150 2 times, resulting in a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 1945.707692
If we subtract 130 from 150, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
65 goes into 200 3 times with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 1945.7076923
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
65 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 1945.7076923
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 1945.7076923 with a balance of 5e-08.