We look at the division of 557110 by 4 
Let's see how many times 4 fits into 557110.

Let's proceed to step 1:
4 goes into 5 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 1 after subtracting 4 from 5.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 4

Advancing 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
Subtracting 12 from 15 leaves us with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 4

On to step 3:
4 can be fit into 37 9 times, resulting in a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 139.0
The remainder is 1 after subtracting 36 from 37.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 4

On to step 4:
11 divided by 4 is 2 with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 1392.0
Subtract 8 from 11 to get 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 4

Going ahead to step 5:
4 can be fit into 31 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 13927.0
If we subtract 28 from 31, we get 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 4

Going ahead to step 6:
The number 4 fits into 30 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 139277.0
If we take 28 away from 30, we end up 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:
20 divided by 4 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 139277.5
Subtracting 20 from 20 leaves us 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.

Moving on to step 8:
If we divide 0 by 4, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 139277.5
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.

Advancing to step 9:
4 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 139277.5
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.

The quotient of the division is 139277.5, and the remainder is 0.0.