We divide 525877 by 9
We want to divide 525877 by 9.

Advancing to step 1:
When dividing 5 by 9, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 9

Step 2:
When dividing 52 by 9, we get 5 with a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 45 from 52, we get 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 9

Step 3:
The number 9 fits into 75 8 times, leaving a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
Deduct 72 from 75 and we're left with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 9

Let's proceed to step 4:
If we divide 38 by 9, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 584.0
If we subtract 36 from 38, we get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 9

Let's proceed to step 5:
The number 9 fits into 27 3 times, leaving a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 5843.0
Deduct 27 from 27 and we're left with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 9

Advancing to step 6:
When dividing 7 by 9, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 58430.0
The remainder is 7 after subtracting 0 from 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:
If we divide 70 by 9, we get 7 and a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 58430.7
Subtract 63 from 70 to 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.

Moving on to step 8:
When dividing 70 by 9, we get 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 58430.77
If we subtract 63 from 70, 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.

The final result is 58430.77 with a remainder of 0.007.