We look at the division of 554826 by 4 
We want to figure out the number of times 554826 can be divided by 4.

Going ahead to step 1:
4 goes into 5 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 4 from 5 leaves us with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 4

On to step 2:
4 goes into 15 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 12 from 15 and we're left with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 4

Step 3:
If we divide 34 by 4, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 138.0
Subtract 32 from 34 to get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 4

Advancing to step 4:
If we divide 28 by 4, we get 7 and a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 1387.0
Subtract 28 from 28 to get 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 4

Step 5:
2 divided by 4 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 13870.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 4

On to step 6:
If we divide 26 by 4, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 138706.0
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.

Advancing to step 7:
If we divide 20 by 4, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 138706.5
The remainder is 0 after subtracting 20 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
When dividing 0 by 4, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 138706.5
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.

Advancing to step 9:
4 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 138706.5
If we subtract 0 from 0, we 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 138706.5 with a remaining 0.0.