We're dividing 680738 by 71 
We're looking to find how many times 71 goes into 680738.

Advancing to step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 71

Let's proceed to step 2:
The number 71 fits into 68 0 times, leaving a remainder of 68.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Append the next digit (0) from the dividend to 68 and continue with: 680 / 71

Advancing to step 3:
The number 71 fits into 680 9 times, leaving a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 639 from 680, we get 41.
Grab the next digit (7) from the dividend, add it to 41, then carry on: 417 / 71

On to step 4:
71 can be fit into 417 5 times, resulting in a remainder of 62.
Use 5 as the next digit of our solution. 
Result so far: 95.0
The remainder is 62 after subtracting 355 from 417.
Append the next digit (3) from the dividend to 62 and continue with: 623 / 71

Step 5:
When dividing 623 by 71, we get 8 with a remainder of 55.
Record the quotient 8 as the next digit in the result. 
Result so far: 958.0
If we subtract 568 from 623, we get 55.
Append the next digit (8) from the dividend to 55 and continue with: 558 / 71

Going ahead to step 6:
The number 71 fits into 558 7 times, leaving a remainder of 61.
The number 7 becomes the next digit in our result. 
Result so far: 9587.0
The remainder is 61 after subtracting 497 from 558.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 7:
The number 71 fits into 610 8 times, leaving a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 9587.8
Subtracting 568 from 610 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 8:
If we divide 420 by 71, we get 5 and a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 9587.85
If we take 355 away from 420, we end up 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.

Advancing to step 9:
If we divide 650 by 71, we get 9 and a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 9587.859
If we subtract 639 from 650, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
When dividing 110 by 71, we get 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 9587.8591
Deduct 71 from 110 and we're left 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 11:
The number 71 fits into 390 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 9587.85915
If we subtract 355 from 390, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 12:
71 can be fit into 350 4 times, resulting in a remainder of 66.
Use 4 as the next digit of our solution. 
Result so far: 9587.859154
Deduct 284 from 350 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 13:
The number 71 fits into 660 9 times, leaving a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 9587.8591549
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.

Advancing to step 14:
71 goes into 210 2 times with a remainder of 68.
The next digit of our result is 2. 
Result so far: 9587.85915492
If we take 142 away from 210, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The quotient of the division is 9587.85915492, and the remainder is 6.8e-08.