Let's divide 409709 by 78
Our goal is to divide 409709 by 78.

On to step 1:
If we divide 4 by 78, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 78

Step 2:
If we divide 40 by 78, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 40, we get 40.
Grab the next digit (9) from the dividend, add it to 40, then carry on: 409 / 78

Moving on to step 3:
409 divided by 78 is 5 with a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 390 from 409 and we're left with 19.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 78

Let's proceed to step 4:
When dividing 197 by 78, we get 2 with a remainder of 41.
Use 2 as the next digit of our solution. 
Result so far: 52.0
If we subtract 156 from 197, we get 41.
Take the next digit (0) from the dividend and append it to 41, then repeat: 410 / 78

Advancing to step 5:
When dividing 410 by 78, we get 5 with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 525.0
If we take 390 away from 410, we end up with 20.
Fetch the next digit (9) from the dividend, attach it to 20 and continue: 209 / 78

On to step 6:
78 goes into 209 2 times with a remainder of 53.
Write down 2 as next digit of the result. 
Result so far: 5252.0
Subtract 156 from 209 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 7:
530 divided by 78 is 6 with a remainder of 62.
The next digit of our result is 6. 
Result so far: 5252.6
The remainder is 62 after subtracting 468 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 8:
When dividing 620 by 78, we get 7 with a remainder of 74.
Put 7 as the next digit of the answer. 
Result so far: 5252.67
If we subtract 546 from 620, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 9:
78 goes into 740 9 times with a remainder of 38.
The number 9 becomes the next digit in our result. 
Result so far: 5252.679
Subtracting 702 from 740 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 10:
78 goes into 380 4 times with a remainder of 68.
Put 4 as the next digit of the answer. 
Result so far: 5252.6794
If we subtract 312 from 380, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 11:
When dividing 680 by 78, we get 8 with a remainder of 56.
The next digit of our result is 8. 
Result so far: 5252.67948
If we subtract 624 from 680, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 12:
If we divide 560 by 78, we get 7 and a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 5252.679487
Subtract 546 from 560 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 13:
The number 78 fits into 140 1 times, leaving a remainder of 62.
Put 1 as the next digit of the answer. 
Result so far: 5252.6794871
Deduct 78 from 140 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 14:
When dividing 620 by 78, we get 7 with a remainder of 74.
Write down 7 as next digit of the result. 
Result so far: 5252.67948717
If we subtract 546 from 620, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

After the division, we end up with 5252.67948717 and a remainder of 7.4e-08.