We're dividing 558132 by 94 
We're looking to find how many times 94 goes into 558132.

Step 1:
94 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 94

Let's proceed to step 2:
If we divide 55 by 94, we get 0 and a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Take the next digit (8) from the dividend and append it to 55, then repeat: 558 / 94

Moving on to step 3:
The number 94 fits into 558 5 times, leaving a remainder of 88.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 470 from 558, we get 88.
Bring next digit (1) of the dividend behind the 88 and repeat the process: 881 / 94

Moving on to step 4:
When dividing 881 by 94, we get 9 with a remainder of 35.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
Deduct 846 from 881 and we're left with 35.
Include the next digit (3) from the dividend after 35, then repeat: 353 / 94

Advancing to step 5:
94 goes into 353 3 times with a remainder of 71.
Write down 3 as next digit of the result. 
Result so far: 593.0
Subtract 282 from 353 to get 71.
Bring next digit (2) of the dividend behind the 71 and repeat the process: 712 / 94

Moving on to step 6:
94 can be fit into 712 7 times, resulting in a remainder of 54.
Use 7 as the next digit of our solution. 
Result so far: 5937.0
Subtracting 658 from 712 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 7:
94 goes into 540 5 times with a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 5937.5
If we take 470 away from 540, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
94 goes into 700 7 times with a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 5937.57
Deduct 658 from 700 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 9:
The number 94 fits into 420 4 times, leaving a remainder of 44.
The number 4 becomes the next digit in our result. 
Result so far: 5937.574
Subtract 376 from 420 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 10:
If we divide 440 by 94, we get 4 and a remainder of 64.
The next digit of our result is 4. 
Result so far: 5937.5744
If we take 376 away from 440, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final outcome is 5937.5744, with a leftover of 0.00064.