We're dividing 527153 by 51 
Our goal is to divide 527153 by 51.

Let's proceed to step 1:
5 divided by 51 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 51

Step 2:
When dividing 52 by 51, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 51 from 52 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 51

On to step 3:
17 divided by 51 is 0 with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 17 after subtracting 0 from 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 51

Moving on to step 4:
171 divided by 51 is 3 with a remainder of 18.
The next digit of our result is 3. 
Result so far: 103.0
The remainder is 18 after subtracting 153 from 171.
Bring next digit (5) of the dividend behind the 18 and repeat the process: 185 / 51

Going ahead to step 5:
When dividing 185 by 51, we get 3 with a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 1033.0
If we take 153 away from 185, we end up with 32.
Include the next digit (3) from the dividend after 32, then repeat: 323 / 51

Step 6:
If we divide 323 by 51, we get 6 and a remainder of 17.
Use 6 as the next digit of our solution. 
Result so far: 10336.0
Subtracting 306 from 323 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
If we divide 170 by 51, we get 3 and a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 10336.3
The remainder is 17 after subtracting 153 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 8:
51 can be fit into 170 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 10336.33
Deduct 153 from 170 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final outcome is 10336.33, with a leftover of 0.017.