555302 ÷ 4 
Let's see how many times 4 fits into 555302.

Let's proceed to step 1:
If we divide 5 by 4, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 4 from 5, we get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 4

Going ahead to step 2:
4 can be fit into 15 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 12 from 15 and we're left with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 4

Let's proceed to step 3:
4 goes into 35 8 times with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
Subtracting 32 from 35 leaves us with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 4

Step 4:
33 divided by 4 is 8 with a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 1388.0
Subtracting 32 from 33 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 4

Advancing to step 5:
When dividing 10 by 4, we get 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 13882.0
Deduct 8 from 10 and we're left with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 4

Step 6:
22 divided by 4 is 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 138825.0
Deduct 20 from 22 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.

On to step 7:
When dividing 20 by 4, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 138825.5
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.

Moving on to step 8:
4 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 138825.5
Deduct 0 from 0 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 9:
0 divided by 4 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 138825.5
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.

In conclusion, the division gives 138825.5 with a balance of 0.0.