We're dividing 338345 by 78 
We're looking to find how many times 78 goes into 338345.

On to step 1:
The number 78 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 78

Going ahead to step 2:
78 goes into 33 0 times with a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 33, we end up with 33.
Take the next digit (8) from the dividend and append it to 33, then repeat: 338 / 78

On to step 3:
338 divided by 78 is 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 312 from 338, we get 26.
Take the next digit (3) from the dividend and append it to 26, then repeat: 263 / 78

On to step 4:
78 goes into 263 3 times with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 43.0
Subtracting 234 from 263 leaves us with 29.
Bring next digit (4) of the dividend behind the 29 and repeat the process: 294 / 78

Step 5:
When dividing 294 by 78, we get 3 with a remainder of 60.
Write down 3 as next digit of the result. 
Result so far: 433.0
Subtract 234 from 294 to get 60.
Include the next digit (5) from the dividend after 60, then repeat: 605 / 78

Let's proceed to step 6:
78 goes into 605 7 times with a remainder of 59.
Write down 7 as next digit of the result. 
Result so far: 4337.0
If we subtract 546 from 605, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 7:
If we divide 590 by 78, we get 7 and a remainder of 44.
Use 7 as the next digit of our solution. 
Result so far: 4337.7
Subtracting 546 from 590 leaves us 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.

On to step 8:
If we divide 440 by 78, we get 5 and a remainder of 50.
The next digit of our result is 5. 
Result so far: 4337.75
If we subtract 390 from 440, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
500 divided by 78 is 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 4337.756
Subtracting 468 from 500 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.

Advancing to step 10:
The number 78 fits into 320 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 4337.7564
Deduct 312 from 320 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.

Advancing to step 11:
If we divide 80 by 78, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 4337.75641
Deduct 78 from 80 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.

Advancing to step 12:
When dividing 20 by 78, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 4337.75641
Subtracting 0 from 20 leaves us 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.

Moving on to step 13:
78 can be fit into 200 2 times, resulting in a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 4337.7564102
Subtract 156 from 200 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 14:
440 divided by 78 is 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 4337.75641025
The remainder is 50 after subtracting 390 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 4337.75641025 with a remainder of 5e-08.