We look at the division of 558274 by 32 
We're looking to find how many times 32 goes into 558274.

Step 1:
5 divided by 32 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 32

Moving on to step 2:
32 can be fit into 55 1 times, resulting in a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 32 from 55, we get 23.
Grab the next digit (8) from the dividend, add it to 23, then carry on: 238 / 32

Advancing to step 3:
The number 32 fits into 238 7 times, leaving a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtract 224 from 238 to get 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 32

Moving on to step 4:
When dividing 142 by 32, we get 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 174.0
If we take 128 away from 142, we end up with 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 32

Let's proceed to step 5:
When dividing 147 by 32, we get 4 with a remainder of 19.
Record the quotient 4 as the next digit in the result. 
Result so far: 1744.0
The remainder is 19 after subtracting 128 from 147.
Bring next digit (4) of the dividend behind the 19 and repeat the process: 194 / 32

Step 6:
If we divide 194 by 32, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 17446.0
Deduct 192 from 194 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
32 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 17446.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
32 can be fit into 200 6 times, resulting in a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 17446.06
Deduct 192 from 200 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
80 divided by 32 is 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 17446.062
The remainder is 16 after subtracting 64 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
160 divided by 32 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 17446.0625
Deduct 160 from 160 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.

Going ahead to step 11:
32 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 17446.0625
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.

Advancing to step 12:
32 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: 17446.0625
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 17446.0625 and a remainder of 0.0.