We look at the division of 338678 by 48 
Let's see how many times 48 fits into 338678.

On to step 1:
3 divided by 48 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 48

Let's proceed to step 2:
If we divide 33 by 48, we get 0 and a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Take the next digit (8) from the dividend and append it to 33, then repeat: 338 / 48

Advancing to step 3:
338 divided by 48 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 336 from 338 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 48

Advancing to step 4:
If we divide 26 by 48, we get 0 and a remainder of 26.
The next digit of our result is 0. 
Result so far: 70.0
The remainder is 26 after subtracting 0 from 26.
Bring next digit (7) of the dividend behind the 26 and repeat the process: 267 / 48

Step 5:
267 divided by 48 is 5 with a remainder of 27.
Record the quotient 5 as the next digit in the result. 
Result so far: 705.0
If we subtract 240 from 267, we get 27.
Bring next digit (8) of the dividend behind the 27 and repeat the process: 278 / 48

Let's proceed to step 6:
278 divided by 48 is 5 with a remainder of 38.
The number 5 becomes the next digit in our result. 
Result so far: 7055.0
If we subtract 240 from 278, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
The number 48 fits into 380 7 times, leaving a remainder of 44.
The number 7 becomes the next digit in our result. 
Result so far: 7055.7
If we take 336 away from 380, we end up with 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 8:
440 divided by 48 is 9 with a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 7055.79
If we subtract 432 from 440, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
The number 48 fits into 80 1 times, leaving a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 7055.791
Deduct 48 from 80 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
48 goes into 320 6 times with a remainder of 32.
The next digit of our result is 6. 
Result so far: 7055.7916
Subtracting 288 from 320 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 11:
48 can be fit into 320 6 times, resulting in a remainder of 32.
The next digit of our result is 6. 
Result so far: 7055.79166
Deduct 288 from 320 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 7055.79166 with a remainder of 3.2e-05.