Let's divide 577646 by 71
We're looking to find how many times 71 goes into 577646.

Step 1:
71 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 71

Moving on to step 2:
71 goes into 57 0 times with a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 57 after subtracting 0 from 57.
Grab the next digit (7) from the dividend, add it to 57, then carry on: 577 / 71

Step 3:
When dividing 577 by 71, we get 8 with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 568 from 577 and we're left with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 71

On to step 4:
If we divide 96 by 71, we get 1 and a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
If we take 71 away from 96, we end up with 25.
Append the next digit (4) from the dividend to 25 and continue with: 254 / 71

Let's proceed to step 5:
71 can be fit into 254 3 times, resulting in a remainder of 41.
Write down 3 as next digit of the result. 
Result so far: 813.0
If we take 213 away from 254, we end up with 41.
Fetch the next digit (6) from the dividend, attach it to 41 and continue: 416 / 71

Going ahead to step 6:
If we divide 416 by 71, we get 5 and a remainder of 61.
The next digit of our result is 5. 
Result so far: 8135.0
If we take 355 away from 416, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 7:
71 can be fit into 610 8 times, resulting in a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 8135.8
If we take 568 away from 610, we end up 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.

Going ahead to step 8:
71 goes into 420 5 times with a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 8135.85
Subtract 355 from 420 to get 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:
When dividing 650 by 71, we get 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 8135.859
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.

Let's proceed to step 10:
The number 71 fits into 110 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 8135.8591
Subtract 71 from 110 to get 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:
71 goes into 390 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 8135.85915
Subtract 355 from 390 to 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:
The number 71 fits into 350 4 times, leaving a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 8135.859154
Subtract 284 from 350 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 13:
660 divided by 71 is 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 8135.8591549
Deduct 639 from 660 and we're left 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.

On to step 14:
When dividing 210 by 71, we get 2 with a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 8135.85915492
The remainder is 68 after subtracting 142 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

After the division, we end up with 8135.85915492 and a remainder of 6.8e-08.