We're dividing 671359 by 71 
We want to figure out the number of times 671359 can be divided by 71.

Moving on to step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 71

Let's proceed to step 2:
67 divided by 71 is 0 with a remainder of 67.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 67 to get 67.
Include the next digit (1) from the dividend after 67, then repeat: 671 / 71

Let's proceed to step 3:
The number 71 fits into 671 9 times, leaving a remainder of 32.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 639 from 671, we get 32.
Fetch the next digit (3) from the dividend, attach it to 32 and continue: 323 / 71

Let's proceed to step 4:
When dividing 323 by 71, we get 4 with a remainder of 39.
Use 4 as the next digit of our solution. 
Result so far: 94.0
The remainder is 39 after subtracting 284 from 323.
Grab the next digit (5) from the dividend, add it to 39, then carry on: 395 / 71

On to step 5:
If we divide 395 by 71, we get 5 and a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 945.0
The remainder is 40 after subtracting 355 from 395.
Grab the next digit (9) from the dividend, add it to 40, then carry on: 409 / 71

On to step 6:
71 goes into 409 5 times with a remainder of 54.
The next digit of our result is 5. 
Result so far: 9455.0
If we take 355 away from 409, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 7:
540 divided by 71 is 7 with a remainder of 43.
The next digit of our result is 7. 
Result so far: 9455.7
Deduct 497 from 540 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 8:
71 goes into 430 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 9455.76
Subtract 426 from 430 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
The number 71 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 9455.76
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
If we divide 400 by 71, we get 5 and a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 9455.7605
If we subtract 355 from 400, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 11:
When dividing 450 by 71, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 9455.76056
If we take 426 away from 450, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 12:
71 goes into 240 3 times with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 9455.760563
Deduct 213 from 240 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 13:
71 goes into 270 3 times with a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 9455.7605633
If we subtract 213 from 270, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 9455.7605633 and a remainder of 5.7e-07.