We look at the division of 378119 by 71 
Let's see how many times 71 fits into 378119.

Advancing to step 1:
If we divide 3 by 71, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 71

Let's proceed to step 2:
71 can be fit into 37 0 times, resulting in a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Append the next digit (8) from the dividend to 37 and continue with: 378 / 71

Let's proceed to step 3:
The number 71 fits into 378 5 times, leaving a remainder of 23.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 355 from 378 leaves us with 23.
Bring next digit (1) of the dividend behind the 23 and repeat the process: 231 / 71

Going ahead to step 4:
71 can be fit into 231 3 times, resulting in a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
If we subtract 213 from 231, we get 18.
Bring next digit (1) of the dividend behind the 18 and repeat the process: 181 / 71

On to step 5:
The number 71 fits into 181 2 times, leaving a remainder of 39.
Put 2 as the next digit of the answer. 
Result so far: 532.0
If we subtract 142 from 181, we get 39.
Include the next digit (9) from the dividend after 39, then repeat: 399 / 71

Step 6:
The number 71 fits into 399 5 times, leaving a remainder of 44.
Put 5 as the next digit of the answer. 
Result so far: 5325.0
If we subtract 355 from 399, we 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.

Going ahead to step 7:
When dividing 440 by 71, we get 6 with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 5325.6
If we subtract 426 from 440, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
140 divided by 71 is 1 with a remainder of 69.
Put 1 as the next digit of the answer. 
Result so far: 5325.61
If we subtract 71 from 140, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 9:
71 can be fit into 690 9 times, resulting in a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 5325.619
The remainder is 51 after subtracting 639 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 10:
71 goes into 510 7 times with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 5325.6197
The remainder is 13 after subtracting 497 from 510.
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 11:
130 divided by 71 is 1 with a remainder of 59.
The next digit of our result is 1. 
Result so far: 5325.61971
Subtract 71 from 130 to 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.

Going ahead to step 12:
If we divide 590 by 71, we get 8 and a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 5325.619718
Subtract 568 from 590 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 13:
If we divide 220 by 71, we get 3 and a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 5325.6197183
Subtract 213 from 220 to 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.

On to step 14:
If we divide 70 by 71, we get 0 and a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 5325.6197183
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

In conclusion, the division gives 5325.6197183 with a balance of 7e-08.