We look at the division of 800577 by 7 
We want to divide 800577 by 7.

On to step 1:
If we divide 8 by 7, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 7 from 8, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 7

Going ahead to step 2:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 7 away from 10, we end up with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 7

Advancing to step 3:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 114.0
The remainder is 2 after subtracting 28 from 30.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 7

Moving on to step 4:
7 can be fit into 25 3 times, resulting in a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 1143.0
If we take 21 away from 25, we end up with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 7

Step 5:
7 can be fit into 47 6 times, resulting in a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 11436.0
Subtracting 42 from 47 leaves us with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 7

Going ahead to step 6:
7 can be fit into 57 8 times, resulting in a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 114368.0
Subtract 56 from 57 to 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.

On to step 7:
If we divide 10 by 7, we get 1 and a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 114368.1
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
30 divided by 7 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 114368.14
If we subtract 28 from 30, 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.

Going ahead to step 9:
7 goes into 20 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 114368.142
If we take 14 away from 20, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 10:
60 divided by 7 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 114368.1428
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 11:
40 divided by 7 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 114368.14285
If we take 35 away from 40, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
50 divided by 7 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 114368.142857
If we subtract 49 from 50, 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:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 114368.1428571
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 14:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 114368.14285714
If we take 28 away from 30, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 114368.14285714 with a remainder of 2e-09.