507855 ÷ 59 
Our goal is to divide 507855 by 59.

Moving on to step 1:
59 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 59

Going ahead to step 2:
59 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Include the next digit (7) from the dividend after 50, then repeat: 507 / 59

Let's proceed to step 3:
The number 59 fits into 507 8 times, leaving a remainder of 35.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 472 from 507, we get 35.
Grab the next digit (8) from the dividend, add it to 35, then carry on: 358 / 59

On to step 4:
358 divided by 59 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 86.0
Subtract 354 from 358 to get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 59

Moving on to step 5:
When dividing 45 by 59, we get 0 with a remainder of 45.
Write down 0 as next digit of the result. 
Result so far: 860.0
If we subtract 0 from 45, we get 45.
Grab the next digit (5) from the dividend, add it to 45, then carry on: 455 / 59

Moving on to step 6:
59 can be fit into 455 7 times, resulting in a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 8607.0
If we take 413 away from 455, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 7:
The number 59 fits into 420 7 times, leaving a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 8607.7
If we take 413 away from 420, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
When dividing 70 by 59, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 8607.71
Deduct 59 from 70 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
If we divide 110 by 59, we get 1 and a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 8607.711
If we subtract 59 from 110, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

In conclusion, the division gives 8607.711 with a balance of 0.0051.