558414 ÷ 10 
Our goal is to divide 558414 by 10.

Going ahead to step 1:
5 divided by 10 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 10

Let's proceed to step 2:
The number 10 fits into 55 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 50 from 55 to get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 10

Advancing to step 3:
10 goes into 58 5 times with a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 55.0
If we subtract 50 from 58, we get 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 10

Advancing to step 4:
If we divide 84 by 10, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 558.0
The remainder is 4 after subtracting 80 from 84.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 10

On to step 5:
When dividing 41 by 10, we get 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 5584.0
If we subtract 40 from 41, we get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 10

Moving on to step 6:
10 goes into 14 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 55841.0
Subtracting 10 from 14 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
10 can be fit into 40 4 times, resulting in a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 55841.4
If we take 40 away from 40, 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.

Moving on to step 8:
If we divide 0 by 10, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 55841.4
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.

Advancing to step 9:
10 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 55841.4
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 55841.4 with a remaining 0.0.