We look at the division of 77919 by 71 
We want to figure out the number of times 77919 can be divided by 71.

On to step 1:
When dividing 7 by 71, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 71

Advancing to step 2:
The number 71 fits into 77 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 71 from 77 and we're left with 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 71

Moving on to step 3:
The number 71 fits into 69 0 times, leaving a remainder of 69.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 69 after subtracting 0 from 69.
Fetch the next digit (1) from the dividend, attach it to 69 and continue: 691 / 71

Advancing to step 4:
71 can be fit into 691 9 times, resulting in a remainder of 52.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
If we subtract 639 from 691, we get 52.
Include the next digit (9) from the dividend after 52, then repeat: 529 / 71

Let's proceed to step 5:
If we divide 529 by 71, we get 7 and a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 1097.0
Deduct 497 from 529 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 6:
320 divided by 71 is 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 1097.4
Subtract 284 from 320 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 7:
The number 71 fits into 360 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1097.45
The remainder is 5 after subtracting 355 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
The number 71 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 1097.45
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
71 can be fit into 500 7 times, resulting in a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 1097.4507
If we subtract 497 from 500, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
The number 71 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 1097.4507
If we subtract 0 from 30, we 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.

On to step 11:
The number 71 fits into 300 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 1097.450704
The remainder is 16 after subtracting 284 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 12:
71 goes into 160 2 times with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 1097.4507042
The remainder is 18 after subtracting 142 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 13:
When dividing 180 by 71, we get 2 with a remainder of 38.
The next digit of our result is 2. 
Result so far: 1097.45070422
Subtracting 142 from 180 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 1097.45070422 and a remainder of 3.8e-08.