527877 ÷ 59 
We want to figure out the number of times 527877 can be divided by 59.

On to step 1:
When dividing 5 by 59, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 59

Let's proceed to step 2:
59 goes into 52 0 times with a remainder of 52.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 52 to get 52.
Append the next digit (7) from the dividend to 52 and continue with: 527 / 59

Moving on to step 3:
The number 59 fits into 527 8 times, leaving a remainder of 55.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we subtract 472 from 527, we get 55.
Fetch the next digit (8) from the dividend, attach it to 55 and continue: 558 / 59

Moving on to step 4:
59 goes into 558 9 times with a remainder of 27.
Record the quotient 9 as the next digit in the result. 
Result so far: 89.0
If we subtract 531 from 558, we get 27.
Append the next digit (7) from the dividend to 27 and continue with: 277 / 59

Advancing to step 5:
59 can be fit into 277 4 times, resulting in a remainder of 41.
Use 4 as the next digit of our solution. 
Result so far: 894.0
Subtract 236 from 277 to get 41.
Include the next digit (7) from the dividend after 41, then repeat: 417 / 59

Advancing to step 6:
If we divide 417 by 59, we get 7 and a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 8947.0
The remainder is 4 after subtracting 413 from 417.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
The number 59 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 8947.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
59 can be fit into 400 6 times, resulting in a remainder of 46.
The next digit of our result is 6. 
Result so far: 8947.06
Subtracting 354 from 400 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 9:
59 can be fit into 460 7 times, resulting in a remainder of 47.
The number 7 becomes the next digit in our result. 
Result so far: 8947.067
The remainder is 47 after subtracting 413 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 10:
The number 59 fits into 470 7 times, leaving a remainder of 57.
Put 7 as the next digit of the answer. 
Result so far: 8947.0677
Subtracting 413 from 470 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 8947.0677 and a remainder of 0.00057.