755682 divided by 71 
Our goal is to divide 755682 by 71.

Let's proceed to step 1:
71 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 71

Step 2:
If we divide 75 by 71, we get 1 and a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 4 after subtracting 71 from 75.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 71

On to step 3:
The number 71 fits into 45 0 times, leaving a remainder of 45.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 45, we end up with 45.
Bring next digit (6) of the dividend behind the 45 and repeat the process: 456 / 71

Going ahead to step 4:
456 divided by 71 is 6 with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
If we take 426 away from 456, we end up with 30.
Take the next digit (8) from the dividend and append it to 30, then repeat: 308 / 71

Moving on to step 5:
308 divided by 71 is 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 1064.0
Subtracting 284 from 308 leaves us with 24.
Fetch the next digit (2) from the dividend, attach it to 24 and continue: 242 / 71

On to step 6:
The number 71 fits into 242 3 times, leaving a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 10643.0
The remainder is 29 after subtracting 213 from 242.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
290 divided by 71 is 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 10643.4
Subtracting 284 from 290 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
The number 71 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 10643.4
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 9:
If we divide 600 by 71, we get 8 and a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 10643.408
Subtract 568 from 600 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
The number 71 fits into 320 4 times, leaving a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 10643.4084
Subtracting 284 from 320 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 11:
When dividing 360 by 71, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 10643.40845
Subtract 355 from 360 to 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.

Moving on to step 12:
If we divide 50 by 71, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 10643.40845
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.

Moving on to step 13:
If we divide 500 by 71, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 10643.4084507
If we subtract 497 from 500, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 14:
When dividing 30 by 71, we get 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 10643.4084507
If we subtract 0 from 30, we 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.

After the division, we end up with 10643.4084507 and a remainder of 3e-08.