We look at the division of 805877 by 902 
We want to figure out the number of times 805877 can be divided by 902.

On to step 1:
8 divided by 902 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 902

Let's proceed to step 2:
902 goes into 80 0 times with a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 80 to get 80.
Append the next digit (5) from the dividend to 80 and continue with: 805 / 902

Let's proceed to step 3:
902 can be fit into 805 0 times, resulting in a remainder of 805.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 805 after subtracting 0 from 805.
Grab the next digit (8) from the dividend, add it to 805, then carry on: 8058 / 902

Moving on to step 4:
The number 902 fits into 8058 8 times, leaving a remainder of 842.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 7216 from 8058 and we're left with 842.
Grab the next digit (7) from the dividend, add it to 842, then carry on: 8427 / 902

Advancing to step 5:
The number 902 fits into 8427 9 times, leaving a remainder of 309.
Record the quotient 9 as the next digit in the result. 
Result so far: 89.0
The remainder is 309 after subtracting 8118 from 8427.
Take the next digit (7) from the dividend and append it to 309, then repeat: 3097 / 902

Let's proceed to step 6:
902 can be fit into 3097 3 times, resulting in a remainder of 391.
Use 3 as the next digit of our solution. 
Result so far: 893.0
Subtract 2706 from 3097 to get 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

Going ahead to step 7:
If we divide 3910 by 902, we get 4 and a remainder of 302.
The number 4 becomes the next digit in our result. 
Result so far: 893.4
The remainder is 302 after subtracting 3608 from 3910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3020, and continue the process.

On to step 8:
3020 divided by 902 is 3 with a remainder of 314.
The next digit of our result is 3. 
Result so far: 893.43
Deduct 2706 from 3020 and we're left with 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

Moving on to step 9:
If we divide 3140 by 902, we get 3 and a remainder of 434.
The next digit of our result is 3. 
Result so far: 893.433
If we subtract 2706 from 3140, we get 434.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4340, and continue the process.

In conclusion, the division gives 893.433 with a balance of 0.0434.