510857 divided by 85 
Our goal is to divide 510857 by 85.

Going ahead to step 1:
85 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 85

Step 2:
When dividing 51 by 85, we get 0 with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Grab the next digit (0) from the dividend, add it to 51, then carry on: 510 / 85

Let's proceed to step 3:
85 goes into 510 6 times with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 510 from 510, we get 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 85

Advancing to step 4:
85 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 60.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 85

Let's proceed to step 5:
The number 85 fits into 85 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 601.0
Deduct 85 from 85 and we're left with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 85

Advancing to step 6:
85 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 6010.0
If we subtract 0 from 7, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
70 divided by 85 is 0 with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 6010.0
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 8:
85 can be fit into 700 8 times, resulting in a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 6010.08
Subtract 680 from 700 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
200 divided by 85 is 2 with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 6010.082
The remainder is 30 after subtracting 170 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 10:
When dividing 300 by 85, we get 3 with a remainder of 45.
The number 3 becomes the next digit in our result. 
Result so far: 6010.0823
If we subtract 255 from 300, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 11:
If we divide 450 by 85, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 6010.08235
If we subtract 425 from 450, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 12:
85 can be fit into 250 2 times, resulting in a remainder of 80.
Use 2 as the next digit of our solution. 
Result so far: 6010.082352
If we take 170 away from 250, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 13:
85 can be fit into 800 9 times, resulting in a remainder of 35.
The number 9 becomes the next digit in our result. 
Result so far: 6010.0823529
If we subtract 765 from 800, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 14:
When dividing 350 by 85, we get 4 with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 6010.08235294
Deduct 340 from 350 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 6010.08235294 with a balance of 1e-08.