378416 divided by 75 
We're looking to find how many times 75 goes into 378416.

Advancing to step 1:
75 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
Subtract 0 from 3 to get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 75

Going ahead to step 2:
The number 75 fits into 37 0 times, leaving a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Include the next digit (8) from the dividend after 37, then repeat: 378 / 75

Going ahead to step 3:
75 can be fit into 378 5 times, resulting in a remainder of 3.
The next digit of our result is 5. 
Result so far: 5.0
If we take 375 away from 378, we end up with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 75

Let's proceed to step 4:
75 goes into 34 0 times with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 50.0
The remainder is 34 after subtracting 0 from 34.
Take the next digit (1) from the dividend and append it to 34, then repeat: 341 / 75

Advancing to step 5:
75 goes into 341 4 times with a remainder of 41.
The number 4 becomes the next digit in our result. 
Result so far: 504.0
The remainder is 41 after subtracting 300 from 341.
Include the next digit (6) from the dividend after 41, then repeat: 416 / 75

Advancing to step 6:
416 divided by 75 is 5 with a remainder of 41.
Record the quotient 5 as the next digit in the result. 
Result so far: 5045.0
Deduct 375 from 416 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 7:
75 can be fit into 410 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 5045.5
Subtracting 375 from 410 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
350 divided by 75 is 4 with a remainder of 50.
The next digit of our result is 4. 
Result so far: 5045.54
Deduct 300 from 350 and we're left 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.

Let's proceed to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 5045.546
Subtracting 450 from 500 leaves us 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.

Going ahead to step 10:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 5045.5466
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

After the division, we end up with 5045.5466 and a remainder of 0.0005.