We look at the division of 554910 by 4 
We're looking to find how many times 4 goes into 554910.

Step 1:
If we divide 5 by 4, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 1 after subtracting 4 from 5.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 4

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
Subtracting 12 from 15 leaves us with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 4

Moving on to step 3:
The number 4 fits into 34 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
The remainder is 2 after subtracting 32 from 34.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 4

Advancing to step 4:
If we divide 29 by 4, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 1387.0
Deduct 28 from 29 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 4

On to step 5:
If we divide 11 by 4, we get 2 and a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 13872.0
If we subtract 8 from 11, we get 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 4

On to step 6:
4 goes into 30 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 138727.0
Subtracting 28 from 30 leaves us 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.

Moving on to step 7:
The number 4 fits into 20 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 138727.5
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.

Going ahead to step 8:
When dividing 0 by 4, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 138727.5
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.

Moving on to step 9:
0 divided by 4 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 138727.5
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.

The quotient of the division is 138727.5, and the remainder is 0.0.