788219 ÷ 71 
Let's see how many times 71 fits into 788219.

Going ahead to step 1:
71 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 71

Step 2:
71 can be fit into 78 1 times, resulting in a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 71 from 78, we get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 71

Going ahead to step 3:
71 can be fit into 78 1 times, resulting in a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtracting 71 from 78 leaves us with 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 71

Moving on to step 4:
If we divide 72 by 71, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 111.0
Subtract 71 from 72 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 71

On to step 5:
When dividing 11 by 71, we get 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 1110.0
Subtract 0 from 11 to get 11.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 71

Moving on to step 6:
The number 71 fits into 119 1 times, leaving a remainder of 48.
The number 1 becomes the next digit in our result. 
Result so far: 11101.0
If we take 71 away from 119, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 7:
71 goes into 480 6 times with a remainder of 54.
The next digit of our result is 6. 
Result so far: 11101.6
The remainder is 54 after subtracting 426 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 8:
71 goes into 540 7 times with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 11101.67
If we subtract 497 from 540, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 9:
71 goes into 430 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 11101.676
If we take 426 away from 430, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
If we divide 40 by 71, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 11101.676
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
400 divided by 71 is 5 with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 11101.67605
If we subtract 355 from 400, we 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 12:
71 goes into 450 6 times with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 11101.676056
Deduct 426 from 450 and we're left 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.

Advancing to step 13:
71 can be fit into 240 3 times, resulting in a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 11101.6760563
If we take 213 away from 240, we end up 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.

Step 14:
270 divided by 71 is 3 with a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 11101.67605633
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 11101.67605633 with a balance of 5.7e-08.