We're dividing 558434 by 47 
Our goal is to divide 558434 by 47.

Let's proceed to step 1:
47 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 47

Let's proceed to step 2:
If we divide 55 by 47, we get 1 and a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 47 from 55, we get 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 47

Advancing to step 3:
When dividing 88 by 47, we get 1 with a remainder of 41.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 47 from 88, we get 41.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 47

Step 4:
When dividing 414 by 47, we get 8 with a remainder of 38.
Use 8 as the next digit of our solution. 
Result so far: 118.0
The remainder is 38 after subtracting 376 from 414.
Fetch the next digit (3) from the dividend, attach it to 38 and continue: 383 / 47

Moving on to step 5:
If we divide 383 by 47, we get 8 and a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 1188.0
If we take 376 away from 383, we end up with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 47

Step 6:
74 divided by 47 is 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 11881.0
If we subtract 47 from 74, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 7:
If we divide 270 by 47, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 11881.5
If we subtract 235 from 270, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
When dividing 350 by 47, we get 7 with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 11881.57
Subtracting 329 from 350 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 9:
If we divide 210 by 47, we get 4 and a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 11881.574
The remainder is 22 after subtracting 188 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 10:
47 goes into 220 4 times with a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 11881.5744
The remainder is 32 after subtracting 188 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 11881.5744 with a remaining 0.00032.