We're dividing 205577 by 268 
We want to divide 205577 by 268.

Step 1:
268 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 268

Step 2:
When dividing 20 by 268, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 20, we end up with 20.
Grab the next digit (5) from the dividend, add it to 20, then carry on: 205 / 268

Going ahead to step 3:
268 can be fit into 205 0 times, resulting in a remainder of 205.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 205 to get 205.
Fetch the next digit (5) from the dividend, attach it to 205 and continue: 2055 / 268

Let's proceed to step 4:
268 goes into 2055 7 times with a remainder of 179.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 1876 from 2055 and we're left with 179.
Append the next digit (7) from the dividend to 179 and continue with: 1797 / 268

Moving on to step 5:
268 goes into 1797 6 times with a remainder of 189.
Put 6 as the next digit of the answer. 
Result so far: 76.0
Subtract 1608 from 1797 to get 189.
Take the next digit (7) from the dividend and append it to 189, then repeat: 1897 / 268

On to step 6:
1897 divided by 268 is 7 with a remainder of 21.
The next digit of our result is 7. 
Result so far: 767.0
The remainder is 21 after subtracting 1876 from 1897.
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 7:
268 can be fit into 210 0 times, resulting in a remainder of 210.
The next digit of our result is 0. 
Result so far: 767.0
If we take 0 away from 210, we end up with 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

Advancing to step 8:
If we divide 2100 by 268, we get 7 and a remainder of 224.
Put 7 as the next digit of the answer. 
Result so far: 767.07
Subtract 1876 from 2100 to get 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Going ahead to step 9:
If we divide 2240 by 268, we get 8 and a remainder of 96.
Record the quotient 8 as the next digit in the result. 
Result so far: 767.078
If we take 2144 away from 2240, we end up with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

On to step 10:
268 goes into 960 3 times with a remainder of 156.
Write down 3 as next digit of the result. 
Result so far: 767.0783
The remainder is 156 after subtracting 804 from 960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Step 11:
1560 divided by 268 is 5 with a remainder of 220.
Write down 5 as next digit of the result. 
Result so far: 767.07835
Subtract 1340 from 1560 to get 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Step 12:
The number 268 fits into 2200 8 times, leaving a remainder of 56.
The number 8 becomes the next digit in our result. 
Result so far: 767.078358
If we subtract 2144 from 2200, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 13:
560 divided by 268 is 2 with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 767.0783582
The remainder is 24 after subtracting 536 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 14:
When dividing 240 by 268, we get 0 with a remainder of 240.
Write down 0 as next digit of the result. 
Result so far: 767.0783582
The remainder is 240 after subtracting 0 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

The quotient of the division is 767.0783582, and the remainder is 2.4e-07.