We're dividing 77871 by 57 
We want to figure out the number of times 77871 can be divided by 57.

Step 1:
57 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 57

On to step 2:
The number 57 fits into 77 1 times, leaving a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 57 from 77 to get 20.
Grab the next digit (8) from the dividend, add it to 20, then carry on: 208 / 57

On to step 3:
The number 57 fits into 208 3 times, leaving a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Deduct 171 from 208 and we're left with 37.
Grab the next digit (7) from the dividend, add it to 37, then carry on: 377 / 57

On to step 4:
The number 57 fits into 377 6 times, leaving a remainder of 35.
Write down 6 as next digit of the result. 
Result so far: 136.0
Subtract 342 from 377 to get 35.
Bring next digit (1) of the dividend behind the 35 and repeat the process: 351 / 57

Advancing to step 5:
57 goes into 351 6 times with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 1366.0
Subtract 342 from 351 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 6:
When dividing 90 by 57, we get 1 with a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 1366.1
Subtract 57 from 90 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 7:
The number 57 fits into 330 5 times, leaving a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 1366.15
Deduct 285 from 330 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 8:
The number 57 fits into 450 7 times, leaving a remainder of 51.
The next digit of our result is 7. 
Result so far: 1366.157
Subtract 399 from 450 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Moving on to step 9:
The number 57 fits into 510 8 times, leaving a remainder of 54.
The number 8 becomes the next digit in our result. 
Result so far: 1366.1578
Deduct 456 from 510 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 10:
When dividing 540 by 57, we get 9 with a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 1366.15789
The remainder is 27 after subtracting 513 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 11:
270 divided by 57 is 4 with a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 1366.157894
If we subtract 228 from 270, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 12:
57 goes into 420 7 times with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 1366.1578947
Subtract 399 from 420 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 13:
The number 57 fits into 210 3 times, leaving a remainder of 39.
The number 3 becomes the next digit in our result. 
Result so far: 1366.15789473
The remainder is 39 after subtracting 171 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

In conclusion, the division gives 1366.15789473 with a balance of 3.9e-08.