557770 ÷ 47 
Our goal is to divide 557770 by 47.

Advancing to step 1:
47 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 47

On to step 2:
If we divide 55 by 47, we get 1 and a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 47 from 55 to get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 47

Let's proceed to step 3:
87 divided by 47 is 1 with a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 40 after subtracting 47 from 87.
Fetch the next digit (7) from the dividend, attach it to 40 and continue: 407 / 47

Let's proceed to step 4:
47 goes into 407 8 times with a remainder of 31.
The next digit of our result is 8. 
Result so far: 118.0
Deduct 376 from 407 and we're left with 31.
Append the next digit (7) from the dividend to 31 and continue with: 317 / 47

Advancing to step 5:
47 goes into 317 6 times with a remainder of 35.
The next digit of our result is 6. 
Result so far: 1186.0
If we subtract 282 from 317, we get 35.
Bring next digit (0) of the dividend behind the 35 and repeat the process: 350 / 47

Going ahead to step 6:
When dividing 350 by 47, we get 7 with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 11867.0
Subtract 329 from 350 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
47 can be fit into 210 4 times, resulting in a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 11867.4
Subtracting 188 from 210 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
220 divided by 47 is 4 with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 11867.44
If we take 188 away from 220, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 11867.44 with a remainder of 0.032.