We're dividing 205517 by 7 
We're looking to find how many times 7 goes into 205517.

Moving on to step 1:
The number 7 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 7

Step 2:
If we divide 20 by 7, we get 2 and a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 14 from 20 leaves us with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 7

On to step 3:
65 divided by 7 is 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 29.0
Subtracting 63 from 65 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 7

Step 4:
If we divide 25 by 7, we get 3 and a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 293.0
The remainder is 4 after subtracting 21 from 25.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 7

Step 5:
The number 7 fits into 41 5 times, leaving a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 2935.0
If we take 35 away from 41, we end up with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 7

Step 6:
67 divided by 7 is 9 with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 29359.0
Deduct 63 from 67 and we're left with 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 7:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 29359.5
If we subtract 35 from 40, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
50 divided by 7 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 29359.57
The remainder is 1 after subtracting 49 from 50.
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 9:
7 goes into 10 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 29359.571
Subtracting 7 from 10 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 29359.5714
Subtracting 28 from 30 leaves us 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.

Advancing to step 11:
When dividing 20 by 7, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 29359.57142
Subtracting 14 from 20 leaves us 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.

Moving on to step 12:
If we divide 60 by 7, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 29359.571428
Deduct 56 from 60 and we're left with 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 13:
40 divided by 7 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 29359.5714285
Subtracting 35 from 40 leaves us 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.

Advancing to step 14:
When dividing 50 by 7, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 29359.57142857
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.

Our division results in 29359.57142857 with a remaining 1e-09.