Let's divide 103213 by 78
Let's see how many times 78 fits into 103213.

On to step 1:
If we divide 1 by 78, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 78

Moving on to step 2:
78 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 78

Advancing to step 3:
78 can be fit into 103 1 times, resulting in a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 25 after subtracting 78 from 103.
Grab the next digit (2) from the dividend, add it to 25, then carry on: 252 / 78

On to step 4:
The number 78 fits into 252 3 times, leaving a remainder of 18.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 18 after subtracting 234 from 252.
Bring next digit (1) of the dividend behind the 18 and repeat the process: 181 / 78

On to step 5:
181 divided by 78 is 2 with a remainder of 25.
Write down 2 as next digit of the result. 
Result so far: 132.0
Subtracting 156 from 181 leaves us with 25.
Include the next digit (3) from the dividend after 25, then repeat: 253 / 78

Step 6:
If we divide 253 by 78, we get 3 and a remainder of 19.
The next digit of our result is 3. 
Result so far: 1323.0
The remainder is 19 after subtracting 234 from 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
78 can be fit into 190 2 times, resulting in a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 1323.2
If we take 156 away from 190, 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.

Moving on to step 8:
340 divided by 78 is 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 1323.24
If we take 312 away from 340, we end up 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.

Advancing to step 9:
280 divided by 78 is 3 with a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 1323.243
If we subtract 234 from 280, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 10:
78 goes into 460 5 times with a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 1323.2435
If we subtract 390 from 460, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 11:
78 can be fit into 700 8 times, resulting in a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 1323.24358
Subtract 624 from 700 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 12:
78 can be fit into 760 9 times, resulting in a remainder of 58.
Put 9 as the next digit of the answer. 
Result so far: 1323.243589
If we take 702 away from 760, we end up 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.

Step 13:
78 can be fit into 580 7 times, resulting in a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 1323.2435897
Deduct 546 from 580 and we're left 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.

On to step 14:
If we divide 340 by 78, we get 4 and a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 1323.24358974
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.

The quotient of the division is 1323.24358974, and the remainder is 2.8e-08.