We look at the division of 668459 by 71 
We want to figure out the number of times 668459 can be divided by 71.

Advancing to step 1:
The number 71 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 71

Going ahead to step 2:
66 divided by 71 is 0 with a remainder of 66.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Include the next digit (8) from the dividend after 66, then repeat: 668 / 71

Moving on to step 3:
71 can be fit into 668 9 times, resulting in a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 29 after subtracting 639 from 668.
Take the next digit (4) from the dividend and append it to 29, then repeat: 294 / 71

Advancing to step 4:
The number 71 fits into 294 4 times, leaving a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 94.0
Subtracting 284 from 294 leaves us with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 71

Advancing to step 5:
105 divided by 71 is 1 with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 941.0
Subtracting 71 from 105 leaves us with 34.
Fetch the next digit (9) from the dividend, attach it to 34 and continue: 349 / 71

Going ahead to step 6:
The number 71 fits into 349 4 times, leaving a remainder of 65.
Write down 4 as next digit of the result. 
Result so far: 9414.0
Subtracting 284 from 349 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 7:
When dividing 650 by 71, we get 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 9414.9
Subtracting 639 from 650 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
The number 71 fits into 110 1 times, leaving a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 9414.91
If we take 71 away from 110, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 9:
71 can be fit into 390 5 times, resulting in a remainder of 35.
The next digit of our result is 5. 
Result so far: 9414.915
Deduct 355 from 390 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 10:
71 can be fit into 350 4 times, resulting in a remainder of 66.
Record the quotient 4 as the next digit in the result. 
Result so far: 9414.9154
If we subtract 284 from 350, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 11:
If we divide 660 by 71, we get 9 and a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 9414.91549
If we take 639 away from 660, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 12:
When dividing 210 by 71, we get 2 with a remainder of 68.
The next digit of our result is 2. 
Result so far: 9414.915492
If we subtract 142 from 210, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 13:
71 goes into 680 9 times with a remainder of 41.
The next digit of our result is 9. 
Result so far: 9414.9154929
Subtract 639 from 680 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 14:
410 divided by 71 is 5 with a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 9414.91549295
Subtract 355 from 410 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The quotient of the division is 9414.91549295, and the remainder is 5.5e-08.