679627 ÷ 71 
We want to figure out the number of times 679627 can be divided by 71.

Advancing to step 1:
If we divide 6 by 71, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 71

Advancing to step 2:
67 divided by 71 is 0 with a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 67, we get 67.
Take the next digit (9) from the dividend and append it to 67, then repeat: 679 / 71

Advancing to step 3:
If we divide 679 by 71, we get 9 and a remainder of 40.
Use 9 as the next digit of our solution. 
Result so far: 9.0
The remainder is 40 after subtracting 639 from 679.
Grab the next digit (6) from the dividend, add it to 40, then carry on: 406 / 71

On to step 4:
The number 71 fits into 406 5 times, leaving a remainder of 51.
The next digit of our result is 5. 
Result so far: 95.0
Subtracting 355 from 406 leaves us with 51.
Fetch the next digit (2) from the dividend, attach it to 51 and continue: 512 / 71

On to step 5:
71 can be fit into 512 7 times, resulting in a remainder of 15.
The next digit of our result is 7. 
Result so far: 957.0
If we take 497 away from 512, we end up with 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 71

Let's proceed to step 6:
71 can be fit into 157 2 times, resulting in a remainder of 15.
Write down 2 as next digit of the result. 
Result so far: 9572.0
The remainder is 15 after subtracting 142 from 157.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
71 goes into 150 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 9572.2
The remainder is 8 after subtracting 142 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
71 can be fit into 80 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 9572.21
Subtract 71 from 80 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
If we divide 90 by 71, we get 1 and a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 9572.211
The remainder is 19 after subtracting 71 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final outcome is 9572.211, with a leftover of 0.0019.