We're dividing 756789 by 71 
We want to divide 756789 by 71.

On to step 1:
71 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 71

Going ahead to step 2:
71 goes into 75 1 times with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 71 from 75 and we're left with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 71

Going ahead to step 3:
71 goes into 46 0 times with a remainder of 46.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 46 and we're left with 46.
Append the next digit (7) from the dividend to 46 and continue with: 467 / 71

Moving on to step 4:
If we divide 467 by 71, we get 6 and a remainder of 41.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
Subtract 426 from 467 to get 41.
Grab the next digit (8) from the dividend, add it to 41, then carry on: 418 / 71

Advancing to step 5:
71 goes into 418 5 times with a remainder of 63.
Record the quotient 5 as the next digit in the result. 
Result so far: 1065.0
Deduct 355 from 418 and we're left with 63.
Take the next digit (9) from the dividend and append it to 63, then repeat: 639 / 71

On to step 6:
71 can be fit into 639 9 times, resulting in a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 10659.0
If we subtract 639 from 639, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
0 divided by 71 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10659.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
The number 71 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10659.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 10659.0 with a remainder of 0.0.