We look at the division of 378214 by 41 
Our goal is to divide 378214 by 41.

Going ahead to step 1:
3 divided by 41 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 41

Going ahead to step 2:
37 divided by 41 is 0 with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Append the next digit (8) from the dividend to 37 and continue with: 378 / 41

Let's proceed to step 3:
378 divided by 41 is 9 with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we take 369 away from 378, we end up with 9.
Grab the next digit (2) from the dividend, add it to 9, then carry on: 92 / 41

Moving on to step 4:
The number 41 fits into 92 2 times, leaving a remainder of 10.
The next digit of our result is 2. 
Result so far: 92.0
Subtract 82 from 92 to get 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 41

Going ahead to step 5:
If we divide 101 by 41, we get 2 and a remainder of 19.
Put 2 as the next digit of the answer. 
Result so far: 922.0
Deduct 82 from 101 and we're left with 19.
Take the next digit (4) from the dividend and append it to 19, then repeat: 194 / 41

On to step 6:
If we divide 194 by 41, we get 4 and a remainder of 30.
Record the quotient 4 as the next digit in the result. 
Result so far: 9224.0
Subtract 164 from 194 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
41 can be fit into 300 7 times, resulting in a remainder of 13.
The next digit of our result is 7. 
Result so far: 9224.7
Deduct 287 from 300 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 8:
If we divide 130 by 41, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 9224.73
Subtracting 123 from 130 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 9:
If we divide 70 by 41, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 9224.731
If we subtract 41 from 70, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 10:
If we divide 290 by 41, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 9224.7317
If we take 287 away from 290, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 11:
30 divided by 41 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 9224.7317
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 12:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 9224.731707
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 13:
41 can be fit into 130 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 9224.7317073
If we subtract 123 from 130, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 14:
If we divide 70 by 41, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 9224.73170731
Deduct 41 from 70 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

After the division, we end up with 9224.73170731 and a remainder of 2.9e-08.