We're dividing 378736 by 65 
We want to divide 378736 by 65.

Step 1:
65 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 65

Let's proceed to step 2:
If we divide 37 by 65, we get 0 and a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Append the next digit (8) from the dividend to 37 and continue with: 378 / 65

Moving on to step 3:
65 can be fit into 378 5 times, resulting in a remainder of 53.
The next digit of our result is 5. 
Result so far: 5.0
If we take 325 away from 378, we end up with 53.
Take the next digit (7) from the dividend and append it to 53, then repeat: 537 / 65

Advancing to step 4:
65 goes into 537 8 times with a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
The remainder is 17 after subtracting 520 from 537.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 65

Advancing to step 5:
The number 65 fits into 173 2 times, leaving a remainder of 43.
The next digit of our result is 2. 
Result so far: 582.0
The remainder is 43 after subtracting 130 from 173.
Include the next digit (6) from the dividend after 43, then repeat: 436 / 65

Let's proceed to step 6:
65 goes into 436 6 times with a remainder of 46.
Write down 6 as next digit of the result. 
Result so far: 5826.0
If we subtract 390 from 436, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 7:
If we divide 460 by 65, we get 7 and a remainder of 5.
The next digit of our result is 7. 
Result so far: 5826.7
Subtracting 455 from 460 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
65 can be fit into 50 0 times, resulting in a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 5826.7
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 5826.707
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 10:
The number 65 fits into 450 6 times, leaving a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 5826.7076
Subtract 390 from 450 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 11:
65 goes into 600 9 times with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 5826.70769
Subtract 585 from 600 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 12:
65 goes into 150 2 times with a remainder of 20.
The next digit of our result is 2. 
Result so far: 5826.707692
Deduct 130 from 150 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.

Going ahead to step 13:
When dividing 200 by 65, we get 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 5826.7076923
If we take 195 away from 200, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
If we divide 50 by 65, we get 0 and a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 5826.7076923
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 5826.7076923, and the remainder is 5e-08.