We're dividing 798665 by 71 
We're looking to find how many times 71 goes into 798665.

Going ahead to step 1:
71 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 71

Advancing to step 2:
79 divided by 71 is 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 71 from 79 to get 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 71

Step 3:
When dividing 88 by 71, we get 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtract 71 from 88 to get 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 71

Advancing to step 4:
176 divided by 71 is 2 with a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 112.0
Subtracting 142 from 176 leaves us with 34.
Include the next digit (6) from the dividend after 34, then repeat: 346 / 71

On to step 5:
346 divided by 71 is 4 with a remainder of 62.
The number 4 becomes the next digit in our result. 
Result so far: 1124.0
Deduct 284 from 346 and we're left with 62.
Grab the next digit (5) from the dividend, add it to 62, then carry on: 625 / 71

On to step 6:
When dividing 625 by 71, we get 8 with a remainder of 57.
Write down 8 as next digit of the result. 
Result so far: 11248.0
If we take 568 away from 625, 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.

Advancing to step 7:
570 divided by 71 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 11248.8
If we subtract 568 from 570, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
The number 71 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 11248.8
If we subtract 0 from 20, 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.

On to step 9:
When dividing 200 by 71, we get 2 with a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 11248.802
Deduct 142 from 200 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 10:
If we divide 580 by 71, we get 8 and a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 11248.8028
Subtract 568 from 580 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 11:
The number 71 fits into 120 1 times, leaving a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 11248.80281
The remainder is 49 after subtracting 71 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 12:
The number 71 fits into 490 6 times, leaving a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 11248.802816
Subtracting 426 from 490 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 13:
The number 71 fits into 640 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 11248.8028169
If we subtract 639 from 640, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
71 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 11248.8028169
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 11248.8028169 and a remainder of 1e-08.