819344 ÷ 71 
We want to figure out the number of times 819344 can be divided by 71.

On to step 1:
The number 71 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 71

Advancing to step 2:
When dividing 81 by 71, we get 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 71 away from 81, we end up with 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 71

On to step 3:
When dividing 109 by 71, we get 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtracting 71 from 109 leaves us with 38.
Take the next digit (3) from the dividend and append it to 38, then repeat: 383 / 71

Step 4:
If we divide 383 by 71, we get 5 and a remainder of 28.
Put 5 as the next digit of the answer. 
Result so far: 115.0
If we take 355 away from 383, we end up with 28.
Take the next digit (4) from the dividend and append it to 28, then repeat: 284 / 71

Step 5:
The number 71 fits into 284 4 times, leaving a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 1154.0
If we subtract 284 from 284, we get 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 71

Let's proceed to step 6:
When dividing 4 by 71, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 11540.0
Subtract 0 from 4 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
If we divide 40 by 71, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 11540.0
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
71 goes into 400 5 times with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 11540.05
Subtract 355 from 400 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 9:
When dividing 450 by 71, we get 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 11540.056
Subtracting 426 from 450 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
When dividing 240 by 71, we get 3 with a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 11540.0563
Deduct 213 from 240 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 11:
270 divided by 71 is 3 with a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 11540.05633
The remainder is 57 after subtracting 213 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

In conclusion, the division gives 11540.05633 with a balance of 5.7e-05.