We're dividing 523251 by 2 
Our goal is to divide 523251 by 2.

Step 1:
2 goes into 5 2 times with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 4 away from 5, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 2

Advancing to step 2:
2 goes into 12 6 times with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Subtracting 12 from 12 leaves us with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 2

Step 3:
The number 2 fits into 3 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 261.0
Deduct 2 from 3 and we're left with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 2

Let's proceed to step 4:
2 goes into 12 6 times with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 2616.0
The remainder is 0 after subtracting 12 from 12.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 2

Advancing to step 5:
2 can be fit into 5 2 times, resulting in a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 26162.0
If we subtract 4 from 5, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 2

Advancing to step 6:
The number 2 fits into 11 5 times, leaving a remainder of 1.
The next digit of our result is 5. 
Result so far: 261625.0
If we subtract 10 from 11, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 2, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 261625.5
Deduct 10 from 10 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
The number 2 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 261625.5
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 261625.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 261625.5 with a remaining 0.0.