378914 ÷ 71 
Let's see how many times 71 fits into 378914.

Advancing to step 1:
The number 71 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 71

Advancing to step 2:
37 divided by 71 is 0 with a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Fetch the next digit (8) from the dividend, attach it to 37 and continue: 378 / 71

Let's proceed to step 3:
The number 71 fits into 378 5 times, leaving a remainder of 23.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 355 away from 378, we end up with 23.
Fetch the next digit (9) from the dividend, attach it to 23 and continue: 239 / 71

Advancing to step 4:
71 can be fit into 239 3 times, resulting in a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
Subtract 213 from 239 to get 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 71

Moving on to step 5:
71 goes into 261 3 times with a remainder of 48.
The next digit of our result is 3. 
Result so far: 533.0
Subtract 213 from 261 to get 48.
Grab the next digit (4) from the dividend, add it to 48, then carry on: 484 / 71

Going ahead to step 6:
If we divide 484 by 71, we get 6 and a remainder of 58.
Put 6 as the next digit of the answer. 
Result so far: 5336.0
Subtract 426 from 484 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 7:
71 can be fit into 580 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 5336.8
Deduct 568 from 580 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.

Let's proceed to step 8:
71 can be fit into 120 1 times, resulting in a remainder of 49.
Put 1 as the next digit of the answer. 
Result so far: 5336.81
Deduct 71 from 120 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 9:
If we divide 490 by 71, we get 6 and a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 5336.816
If we take 426 away from 490, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 10:
71 can be fit into 640 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 5336.8169
Subtracting 639 from 640 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
The number 71 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 5336.8169
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
When dividing 100 by 71, we get 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 5336.816901
If we subtract 71 from 100, 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.

Going ahead to step 13:
The number 71 fits into 290 4 times, leaving a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 5336.8169014
The remainder is 6 after subtracting 284 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 14:
When dividing 60 by 71, we get 0 with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 5336.8169014
If we subtract 0 from 60, we 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.

In conclusion, the division gives 5336.8169014 with a balance of 6e-08.