Let's divide 579767 by 71
We want to divide 579767 by 71.

Let's proceed to step 1:
The number 71 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 71

Advancing to step 2:
57 divided by 71 is 0 with a remainder of 57.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 57 after subtracting 0 from 57.
Grab the next digit (9) from the dividend, add it to 57, then carry on: 579 / 71

On to step 3:
If we divide 579 by 71, we get 8 and a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 568 from 579, we get 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 71

On to step 4:
71 goes into 117 1 times with a remainder of 46.
Use 1 as the next digit of our solution. 
Result so far: 81.0
The remainder is 46 after subtracting 71 from 117.
Grab the next digit (6) from the dividend, add it to 46, then carry on: 466 / 71

On to step 5:
The number 71 fits into 466 6 times, leaving a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 816.0
Subtracting 426 from 466 leaves us with 40.
Append the next digit (7) from the dividend to 40 and continue with: 407 / 71

Let's proceed to step 6:
71 can be fit into 407 5 times, resulting in a remainder of 52.
Put 5 as the next digit of the answer. 
Result so far: 8165.0
Subtracting 355 from 407 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 7:
The number 71 fits into 520 7 times, leaving a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 8165.7
Deduct 497 from 520 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 8:
When dividing 230 by 71, we get 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 8165.73
Subtract 213 from 230 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 9:
When dividing 170 by 71, we get 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 8165.732
If we take 142 away from 170, we end up with 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 10:
If we divide 280 by 71, we get 3 and a remainder of 67.
The next digit of our result is 3. 
Result so far: 8165.7323
The remainder is 67 after subtracting 213 from 280.
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 11:
71 can be fit into 670 9 times, resulting in a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 8165.73239
If we take 639 away from 670, we end up 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.

Advancing to step 12:
310 divided by 71 is 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 8165.732394
If we take 284 away from 310, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 13:
If we divide 260 by 71, we get 3 and a remainder of 47.
The next digit of our result is 3. 
Result so far: 8165.7323943
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.

Going ahead to step 14:
71 can be fit into 470 6 times, resulting in a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 8165.73239436
Subtract 426 from 470 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

After the division, we end up with 8165.73239436 and a remainder of 4.4e-08.