101871 divided by 78 
We want to divide 101871 by 78.

On to step 1:
78 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 78

Advancing to step 2:
When dividing 10 by 78, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 78

Moving on to step 3:
101 divided by 78 is 1 with a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 78 from 101 to get 23.
Append the next digit (8) from the dividend to 23 and continue with: 238 / 78

Step 4:
238 divided by 78 is 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we take 234 away from 238, we end up with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 78

Going ahead to step 5:
78 can be fit into 47 0 times, resulting in a remainder of 47.
The next digit of our result is 0. 
Result so far: 130.0
The remainder is 47 after subtracting 0 from 47.
Take the next digit (1) from the dividend and append it to 47, then repeat: 471 / 78

Let's proceed to step 6:
78 goes into 471 6 times with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 1306.0
Subtract 468 from 471 to 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.

Advancing to step 7:
78 goes into 30 0 times with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 1306.0
Subtract 0 from 30 to 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.

Let's proceed to step 8:
78 goes into 300 3 times with a remainder of 66.
Put 3 as the next digit of the answer. 
Result so far: 1306.03
Subtracting 234 from 300 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 9:
78 goes into 660 8 times with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 1306.038
If we subtract 624 from 660, we 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.

Going ahead to step 10:
When dividing 360 by 78, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 1306.0384
Subtract 312 from 360 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 11:
If we divide 480 by 78, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 1306.03846
Deduct 468 from 480 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
120 divided by 78 is 1 with a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 1306.038461
The remainder is 42 after subtracting 78 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 13:
If we divide 420 by 78, we get 5 and a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 1306.0384615
Subtract 390 from 420 to 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.

Going ahead to step 14:
The number 78 fits into 300 3 times, leaving a remainder of 66.
The next digit of our result is 3. 
Result so far: 1306.03846153
Deduct 234 from 300 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

In conclusion, the division gives 1306.03846153 with a balance of 6.6e-08.