We look at the division of 253506 by 4 
We're looking to find how many times 4 goes into 253506.

Advancing to step 1:
The number 4 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 4

Going ahead to step 2:
If we divide 25 by 4, we get 6 and a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 1 after subtracting 24 from 25.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 4

On to step 3:
If we divide 13 by 4, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 63.0
If we take 12 away from 13, we end up with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 4

Going ahead to step 4:
The number 4 fits into 15 3 times, leaving a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 633.0
Deduct 12 from 15 and we're left with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 4

Going ahead to step 5:
The number 4 fits into 30 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 6337.0
Subtract 28 from 30 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 4

Advancing to step 6:
If we divide 26 by 4, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 63376.0
Deduct 24 from 26 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
4 goes into 20 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 63376.5
Subtract 20 from 20 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.

On to step 8:
If we divide 0 by 4, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 63376.5
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.

Let's proceed to step 9:
The number 4 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 63376.5
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.

The final result is 63376.5 with a remainder of 0.0.