We're dividing 378162 by 75 
We want to figure out the number of times 378162 can be divided by 75.

Going ahead to step 1:
If we divide 3 by 75, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 75

Step 2:
75 goes into 37 0 times with a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Bring next digit (8) of the dividend behind the 37 and repeat the process: 378 / 75

Advancing to step 3:
If we divide 378 by 75, we get 5 and a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 375 from 378 and we're left with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 75

Step 4:
When dividing 31 by 75, we get 0 with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 50.0
Subtract 0 from 31 to get 31.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 75

Let's proceed to step 5:
75 goes into 316 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 504.0
The remainder is 16 after subtracting 300 from 316.
Include the next digit (2) from the dividend after 16, then repeat: 162 / 75

Going ahead to step 6:
75 goes into 162 2 times with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 5042.0
Deduct 150 from 162 and we're left 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.

Step 7:
75 can be fit into 120 1 times, resulting in a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 5042.1
The remainder is 45 after subtracting 75 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 8:
75 can be fit into 450 6 times, resulting in a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 5042.16
Subtracting 450 from 450 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
If we divide 0 by 75, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5042.16
If we subtract 0 from 0, we 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.

Moving on to step 10:
75 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5042.16
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 5042.16 with a balance of 0.0.