We look at the division of 103720 by 78 
We want to divide 103720 by 78.

Let's proceed to step 1:
When dividing 1 by 78, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 78

Going ahead to step 2:
When dividing 10 by 78, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 78

Advancing to step 3:
78 goes into 103 1 times with a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 78 from 103 and we're left with 25.
Include the next digit (7) from the dividend after 25, then repeat: 257 / 78

Going ahead to step 4:
78 can be fit into 257 3 times, resulting in a remainder of 23.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 234 from 257 and we're left with 23.
Take the next digit (2) from the dividend and append it to 23, then repeat: 232 / 78

Step 5:
232 divided by 78 is 2 with a remainder of 76.
Put 2 as the next digit of the answer. 
Result so far: 132.0
Subtracting 156 from 232 leaves us with 76.
Include the next digit (0) from the dividend after 76, then repeat: 760 / 78

Going ahead to step 6:
760 divided by 78 is 9 with a remainder of 58.
The next digit of our result is 9. 
Result so far: 1329.0
If we subtract 702 from 760, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 7:
78 can be fit into 580 7 times, resulting in a remainder of 34.
The next digit of our result is 7. 
Result so far: 1329.7
If we take 546 away from 580, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 8:
When dividing 340 by 78, we get 4 with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 1329.74
Deduct 312 from 340 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 9:
If we divide 280 by 78, we get 3 and a remainder of 46.
Record the quotient 3 as the next digit in the result. 
Result so far: 1329.743
Deduct 234 from 280 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 10:
The number 78 fits into 460 5 times, leaving a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 1329.7435
If we take 390 away from 460, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 11:
78 can be fit into 700 8 times, resulting in a remainder of 76.
The next digit of our result is 8. 
Result so far: 1329.74358
The remainder is 76 after subtracting 624 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 12:
The number 78 fits into 760 9 times, leaving a remainder of 58.
Put 9 as the next digit of the answer. 
Result so far: 1329.743589
Subtracting 702 from 760 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 13:
If we divide 580 by 78, we get 7 and a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 1329.7435897
Subtract 546 from 580 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 14:
When dividing 340 by 78, we get 4 with a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 1329.74358974
Subtract 312 from 340 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 1329.74358974 with a remaining 2.8e-08.