338288 divided by 32 
We're looking to find how many times 32 goes into 338288.

Moving on to step 1:
32 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 32

Advancing to step 2:
33 divided by 32 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 32 from 33 and we're left with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 32

Going ahead to step 3:
32 goes into 18 0 times with a remainder of 18.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 18 to get 18.
Fetch the next digit (2) from the dividend, attach it to 18 and continue: 182 / 32

Step 4:
The number 32 fits into 182 5 times, leaving a remainder of 22.
The next digit of our result is 5. 
Result so far: 105.0
The remainder is 22 after subtracting 160 from 182.
Fetch the next digit (8) from the dividend, attach it to 22 and continue: 228 / 32

Let's proceed to step 5:
32 goes into 228 7 times with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 1057.0
If we take 224 away from 228, we end up with 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 32

Going ahead to step 6:
If we divide 48 by 32, we get 1 and a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 10571.0
Subtracting 32 from 48 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
If we divide 160 by 32, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 10571.5
The remainder is 0 after subtracting 160 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
When dividing 0 by 32, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10571.5
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.

Moving on to step 9:
If we divide 0 by 32, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10571.5
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.

The final result is 10571.5 with a remainder of 0.0.