We look at the division of 338188 by 64 
We want to figure out the number of times 338188 can be divided by 64.

Advancing to step 1:
64 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 64

Going ahead to step 2:
64 goes into 33 0 times with a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Append the next digit (8) from the dividend to 33 and continue with: 338 / 64

Let's proceed to step 3:
If we divide 338 by 64, we get 5 and a remainder of 18.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 320 from 338, we get 18.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 64

Step 4:
The number 64 fits into 181 2 times, leaving a remainder of 53.
The next digit of our result is 2. 
Result so far: 52.0
Deduct 128 from 181 and we're left with 53.
Fetch the next digit (8) from the dividend, attach it to 53 and continue: 538 / 64

Let's proceed to step 5:
538 divided by 64 is 8 with a remainder of 26.
Record the quotient 8 as the next digit in the result. 
Result so far: 528.0
Subtract 512 from 538 to get 26.
Include the next digit (8) from the dividend after 26, then repeat: 268 / 64

Step 6:
If we divide 268 by 64, we get 4 and a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 5284.0
If we take 256 away from 268, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
120 divided by 64 is 1 with a remainder of 56.
Record the quotient 1 as the next digit in the result. 
Result so far: 5284.1
Deduct 64 from 120 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 8:
560 divided by 64 is 8 with a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 5284.18
If we take 512 away from 560, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 9:
When dividing 480 by 64, we get 7 with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 5284.187
Subtract 448 from 480 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
64 can be fit into 320 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 5284.1875
Subtract 320 from 320 to 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.

On to step 11:
If we divide 0 by 64, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 5284.1875
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.

Advancing to step 12:
64 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 5284.1875
Subtract 0 from 0 to 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.

After the division, we end up with 5284.1875 and a remainder of 0.0.