We're dividing 205780 by 877 
We want to figure out the number of times 205780 can be divided by 877.

On to step 1:
877 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
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 / 877

Moving on to step 2:
877 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 20, we get 20.
Bring next digit (5) of the dividend behind the 20 and repeat the process: 205 / 877

Let's proceed to step 3:
The number 877 fits into 205 0 times, leaving a remainder of 205.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 205 leaves us with 205.
Append the next digit (7) from the dividend to 205 and continue with: 2057 / 877

On to step 4:
877 can be fit into 2057 2 times, resulting in a remainder of 303.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 1754 away from 2057, we end up with 303.
Take the next digit (8) from the dividend and append it to 303, then repeat: 3038 / 877

Advancing to step 5:
877 goes into 3038 3 times with a remainder of 407.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Deduct 2631 from 3038 and we're left with 407.
Bring next digit (0) of the dividend behind the 407 and repeat the process: 4070 / 877

On to step 6:
877 can be fit into 4070 4 times, resulting in a remainder of 562.
Write down 4 as next digit of the result. 
Result so far: 234.0
The remainder is 562 after subtracting 3508 from 4070.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

Step 7:
The number 877 fits into 5620 6 times, leaving a remainder of 358.
Write down 6 as next digit of the result. 
Result so far: 234.6
If we subtract 5262 from 5620, we get 358.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3580, and continue the process.

Step 8:
877 can be fit into 3580 4 times, resulting in a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 234.64
The remainder is 72 after subtracting 3508 from 3580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 9:
877 can be fit into 720 0 times, resulting in a remainder of 720.
Record the quotient 0 as the next digit in the result. 
Result so far: 234.64
Deduct 0 from 720 and we're left with 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7200, and continue the process.

Moving on to step 10:
7200 divided by 877 is 8 with a remainder of 184.
Use 8 as the next digit of our solution. 
Result so far: 234.6408
Subtracting 7016 from 7200 leaves us with 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Step 11:
877 goes into 1840 2 times with a remainder of 86.
The number 2 becomes the next digit in our result. 
Result so far: 234.64082
Subtracting 1754 from 1840 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Moving on to step 12:
877 goes into 860 0 times with a remainder of 860.
Use 0 as the next digit of our solution. 
Result so far: 234.64082
If we subtract 0 from 860, we get 860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8600, and continue the process.

Step 13:
877 can be fit into 8600 9 times, resulting in a remainder of 707.
Use 9 as the next digit of our solution. 
Result so far: 234.6408209
Deduct 7893 from 8600 and we're left with 707.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7070, and continue the process.

Let's proceed to step 14:
877 can be fit into 7070 8 times, resulting in a remainder of 54.
Use 8 as the next digit of our solution. 
Result so far: 234.64082098
Subtract 7016 from 7070 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

In conclusion, the division gives 234.64082098 with a balance of 5.4e-08.