We look at the division of 78372342 by 558 
We want to divide 78372342 by 558.

Advancing to step 1:
558 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 558

Moving on to step 2:
558 goes into 78 0 times with a remainder of 78.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 78 and we're left with 78.
Take the next digit (3) from the dividend and append it to 78, then repeat: 783 / 558

Let's proceed to step 3:
783 divided by 558 is 1 with a remainder of 225.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 558 from 783, we get 225.
Bring next digit (7) of the dividend behind the 225 and repeat the process: 2257 / 558

Moving on to step 4:
558 can be fit into 2257 4 times, resulting in a remainder of 25.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we subtract 2232 from 2257, we get 25.
Include the next digit (2) from the dividend after 25, then repeat: 252 / 558

Advancing to step 5:
When dividing 252 by 558, we get 0 with a remainder of 252.
The number 0 becomes the next digit in our result. 
Result so far: 140.0
If we take 0 away from 252, we end up with 252.
Include the next digit (3) from the dividend after 252, then repeat: 2523 / 558

Step 6:
If we divide 2523 by 558, we get 4 and a remainder of 291.
The number 4 becomes the next digit in our result. 
Result so far: 1404.0
If we subtract 2232 from 2523, we get 291.
Include the next digit (4) from the dividend after 291, then repeat: 2914 / 558

Step 7:
558 goes into 2914 5 times with a remainder of 124.
The number 5 becomes the next digit in our result. 
Result so far: 14045.0
Deduct 2790 from 2914 and we're left with 124.
Fetch the next digit (2) from the dividend, attach it to 124 and continue: 1242 / 558

Advancing to step 8:
If we divide 1242 by 558, we get 2 and a remainder of 126.
Record the quotient 2 as the next digit in the result. 
Result so far: 140452.0
The remainder is 126 after subtracting 1116 from 1242.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Let's proceed to step 9:
The number 558 fits into 1260 2 times, leaving a remainder of 144.
The next digit of our result is 2. 
Result so far: 140452.2
Deduct 1116 from 1260 and we're left with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Let's proceed to step 10:
1440 divided by 558 is 2 with a remainder of 324.
The next digit of our result is 2. 
Result so far: 140452.22
The remainder is 324 after subtracting 1116 from 1440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3240, and continue the process.

In conclusion, the division gives 140452.22 with a balance of 0.324.