We divide 645409 by 78
Let's see how many times 78 fits into 645409.

Let's proceed to step 1:
6 divided by 78 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 78

On to step 2:
When dividing 64 by 78, we get 0 with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Fetch the next digit (5) from the dividend, attach it to 64 and continue: 645 / 78

Step 3:
78 goes into 645 8 times with a remainder of 21.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 624 from 645 to get 21.
Append the next digit (4) from the dividend to 21 and continue with: 214 / 78

Advancing to step 4:
214 divided by 78 is 2 with a remainder of 58.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
Subtract 156 from 214 to get 58.
Include the next digit (0) from the dividend after 58, then repeat: 580 / 78

On to step 5:
580 divided by 78 is 7 with a remainder of 34.
The next digit of our result is 7. 
Result so far: 827.0
Deduct 546 from 580 and we're left with 34.
Include the next digit (9) from the dividend after 34, then repeat: 349 / 78

Moving on to step 6:
The number 78 fits into 349 4 times, leaving a remainder of 37.
Use 4 as the next digit of our solution. 
Result so far: 8274.0
Deduct 312 from 349 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 7:
If we divide 370 by 78, we get 4 and a remainder of 58.
Put 4 as the next digit of the answer. 
Result so far: 8274.4
Subtracting 312 from 370 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.

Let's proceed to step 8:
580 divided by 78 is 7 with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 8274.47
If we subtract 546 from 580, we 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.

Let's proceed to step 9:
78 goes into 340 4 times with a remainder of 28.
The next digit of our result is 4. 
Result so far: 8274.474
Subtracting 312 from 340 leaves us 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.

On to step 10:
When dividing 280 by 78, we get 3 with a remainder of 46.
Write down 3 as next digit of the result. 
Result so far: 8274.4743
The remainder is 46 after subtracting 234 from 280.
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 11:
78 can be fit into 460 5 times, resulting in a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 8274.47435
Deduct 390 from 460 and we're left 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.

Going ahead to step 12:
When dividing 700 by 78, we get 8 with a remainder of 76.
Write down 8 as next digit of the result. 
Result so far: 8274.474358
If we subtract 624 from 700, we 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.

On to step 13:
The number 78 fits into 760 9 times, leaving a remainder of 58.
The next digit of our result is 9. 
Result so far: 8274.4743589
Deduct 702 from 760 and we're left 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.

Advancing to step 14:
580 divided by 78 is 7 with a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 8274.47435897
The remainder is 34 after subtracting 546 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 8274.47435897 and a remainder of 3.4e-08.