We look at the division of 684534 by 71 
Our goal is to divide 684534 by 71.

Going ahead to step 1:
71 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 71

Let's proceed to step 2:
When dividing 68 by 71, we get 0 with a remainder of 68.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Take the next digit (4) from the dividend and append it to 68, then repeat: 684 / 71

Let's proceed to step 3:
If we divide 684 by 71, we get 9 and a remainder of 45.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 639 from 684 leaves us with 45.
Bring next digit (5) of the dividend behind the 45 and repeat the process: 455 / 71

On to step 4:
The number 71 fits into 455 6 times, leaving a remainder of 29.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
The remainder is 29 after subtracting 426 from 455.
Include the next digit (3) from the dividend after 29, then repeat: 293 / 71

Moving on to step 5:
If we divide 293 by 71, we get 4 and a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 964.0
Subtract 284 from 293 to get 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 71

Advancing to step 6:
71 can be fit into 94 1 times, resulting in a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 9641.0
The remainder is 23 after subtracting 71 from 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
71 goes into 230 3 times with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 9641.3
The remainder is 17 after subtracting 213 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 8:
When dividing 170 by 71, we get 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 9641.32
If we subtract 142 from 170, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 9:
71 can be fit into 280 3 times, resulting in a remainder of 67.
Put 3 as the next digit of the answer. 
Result so far: 9641.323
Subtract 213 from 280 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 10:
If we divide 670 by 71, we get 9 and a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 9641.3239
Subtracting 639 from 670 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 11:
If we divide 310 by 71, we get 4 and a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 9641.32394
Subtract 284 from 310 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 12:
71 goes into 260 3 times with a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 9641.323943
Subtract 213 from 260 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 13:
71 goes into 470 6 times with a remainder of 44.
The next digit of our result is 6. 
Result so far: 9641.3239436
The remainder is 44 after subtracting 426 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 14:
440 divided by 71 is 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 9641.32394366
Deduct 426 from 440 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 9641.32394366 with a remainder of 1.4e-08.