Let's divide 102571 by 78
We're looking to find how many times 78 goes into 102571.

Advancing to step 1:
78 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 78

Moving on to step 2:
78 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 78

Step 3:
If we divide 102 by 78, we get 1 and a remainder of 24.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 78 from 102 to get 24.
Fetch the next digit (5) from the dividend, attach it to 24 and continue: 245 / 78

On to step 4:
78 can be fit into 245 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
The remainder is 11 after subtracting 234 from 245.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 78

Going ahead to step 5:
If we divide 117 by 78, we get 1 and a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 131.0
If we take 78 away from 117, we end up with 39.
Bring next digit (1) of the dividend behind the 39 and repeat the process: 391 / 78

Going ahead to step 6:
391 divided by 78 is 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 1315.0
If we take 390 away from 391, we end up 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.

Step 7:
The number 78 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 1315.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
78 goes into 100 1 times with a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1315.01
Deduct 78 from 100 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
78 goes into 220 2 times with a remainder of 64.
Put 2 as the next digit of the answer. 
Result so far: 1315.012
Deduct 156 from 220 and we're left 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.

On to step 10:
640 divided by 78 is 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 1315.0128
Subtracting 624 from 640 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
If we divide 160 by 78, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 1315.01282
Subtracting 156 from 160 leaves us 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.

Moving on to step 12:
The number 78 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 1315.01282
The remainder is 40 after subtracting 0 from 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 13:
78 goes into 400 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 1315.0128205
Deduct 390 from 400 and we're left 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.

Advancing to step 14:
78 goes into 100 1 times with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1315.01282051
Subtracting 78 from 100 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 1315.01282051, and the remainder is 2.2e-08.