We're dividing 79577 by 71 
We want to figure out the number of times 79577 can be divided by 71.

On to step 1:
71 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 71

Going ahead to step 2:
The number 71 fits into 79 1 times, leaving a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 71 from 79 leaves us with 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 71

Going ahead to step 3:
85 divided by 71 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtract 71 from 85 to get 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 71

Advancing to step 4:
71 can be fit into 147 2 times, resulting in a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 112.0
Subtracting 142 from 147 leaves us with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 71

Advancing to step 5:
When dividing 57 by 71, we get 0 with a remainder of 57.
The next digit of our result is 0. 
Result so far: 1120.0
If we subtract 0 from 57, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 6:
71 can be fit into 570 8 times, resulting in a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 1120.8
If we subtract 568 from 570, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
71 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 1120.8
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
The number 71 fits into 200 2 times, leaving a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 1120.802
If we subtract 142 from 200, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 9:
580 divided by 71 is 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1120.8028
Deduct 568 from 580 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
When dividing 120 by 71, we get 1 with a remainder of 49.
Put 1 as the next digit of the answer. 
Result so far: 1120.80281
If we subtract 71 from 120, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 11:
The number 71 fits into 490 6 times, leaving a remainder of 64.
The next digit of our result is 6. 
Result so far: 1120.802816
Subtract 426 from 490 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 12:
71 goes into 640 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 1120.8028169
If we subtract 639 from 640, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 13:
10 divided by 71 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 1120.8028169
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 1120.8028169 with a remainder of 1e-08.