Let's divide 684871 by 71
Our goal is to divide 684871 by 71.

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
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 71

On to step 2:
68 divided by 71 is 0 with a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Grab the next digit (4) from the dividend, add it to 68, then carry on: 684 / 71

Advancing to step 3:
71 can be fit into 684 9 times, resulting in a remainder of 45.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 639 from 684 to get 45.
Append the next digit (8) from the dividend to 45 and continue with: 458 / 71

Let's proceed to step 4:
The number 71 fits into 458 6 times, leaving a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 96.0
If we take 426 away from 458, we end up with 32.
Append the next digit (7) from the dividend to 32 and continue with: 327 / 71

Advancing to step 5:
When dividing 327 by 71, we get 4 with a remainder of 43.
The next digit of our result is 4. 
Result so far: 964.0
If we take 284 away from 327, we end up with 43.
Grab the next digit (1) from the dividend, add it to 43, then carry on: 431 / 71

Step 6:
When dividing 431 by 71, we get 6 with a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 9646.0
Deduct 426 from 431 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
50 divided by 71 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 9646.0
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
500 divided by 71 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 9646.07
Deduct 497 from 500 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 9:
71 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 9646.07
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
71 goes into 300 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 9646.0704
If we subtract 284 from 300, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
If we divide 160 by 71, we get 2 and a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 9646.07042
Subtract 142 from 160 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 12:
The number 71 fits into 180 2 times, leaving a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 9646.070422
Deduct 142 from 180 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 9646.070422 and a remainder of 3.8e-06.