We divide 103209 by 78
We want to divide 103209 by 78.

Step 1:
78 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 78

Advancing to step 2:
If we divide 10 by 78, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 78

Step 3:
78 goes into 103 1 times with a remainder of 25.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 78 from 103 to get 25.
Take the next digit (2) from the dividend and append it to 25, then repeat: 252 / 78

Step 4:
78 can be fit into 252 3 times, resulting in a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 234 from 252, we get 18.
Fetch the next digit (0) from the dividend, attach it to 18 and continue: 180 / 78

Advancing to step 5:
The number 78 fits into 180 2 times, leaving a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 132.0
Subtract 156 from 180 to get 24.
Fetch the next digit (9) from the dividend, attach it to 24 and continue: 249 / 78

On to step 6:
When dividing 249 by 78, we get 3 with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 1323.0
If we subtract 234 from 249, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
If we divide 150 by 78, we get 1 and a remainder of 72.
Write down 1 as next digit of the result. 
Result so far: 1323.1
Subtracting 78 from 150 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 8:
78 can be fit into 720 9 times, resulting in a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 1323.19
If we take 702 away from 720, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
When dividing 180 by 78, we get 2 with a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 1323.192
If we subtract 156 from 180, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 10:
240 divided by 78 is 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 1323.1923
Subtracting 234 from 240 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
78 goes into 60 0 times with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 1323.1923
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 12:
600 divided by 78 is 7 with a remainder of 54.
Use 7 as the next digit of our solution. 
Result so far: 1323.192307
If we subtract 546 from 600, we get 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 13:
78 can be fit into 540 6 times, resulting in a remainder of 72.
The next digit of our result is 6. 
Result so far: 1323.1923076
Subtracting 468 from 540 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 14:
78 goes into 720 9 times with a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 1323.19230769
Deduct 702 from 720 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 1323.19230769 with a balance of 1.8e-08.