413770 ÷ 78 
Our goal is to divide 413770 by 78.

On to step 1:
78 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 78

Advancing to step 2:
78 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (3) of the dividend behind the 41 and repeat the process: 413 / 78

Moving on to step 3:
78 goes into 413 5 times with a remainder of 23.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 390 from 413 to get 23.
Take the next digit (7) from the dividend and append it to 23, then repeat: 237 / 78

Moving on to step 4:
78 can be fit into 237 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 53.0
The remainder is 3 after subtracting 234 from 237.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 78

Advancing to step 5:
If we divide 37 by 78, we get 0 and a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 530.0
Deduct 0 from 37 and we're left with 37.
Grab the next digit (0) from the dividend, add it to 37, then carry on: 370 / 78

Moving on to step 6:
When dividing 370 by 78, we get 4 with a remainder of 58.
Put 4 as the next digit of the answer. 
Result so far: 5304.0
The remainder is 58 after subtracting 312 from 370.
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 7:
The number 78 fits into 580 7 times, leaving a remainder of 34.
The next digit of our result is 7. 
Result so far: 5304.7
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.

On to step 8:
If we divide 340 by 78, we get 4 and a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 5304.74
The remainder is 28 after subtracting 312 from 340.
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:
The number 78 fits into 280 3 times, leaving a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 5304.743
Subtract 234 from 280 to 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.

Moving on to step 10:
460 divided by 78 is 5 with a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 5304.7435
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.

Step 11:
700 divided by 78 is 8 with a remainder of 76.
Record the quotient 8 as the next digit in the result. 
Result so far: 5304.74358
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.

Going ahead to step 12:
78 can be fit into 760 9 times, resulting in a remainder of 58.
The next digit of our result is 9. 
Result so far: 5304.743589
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.

Advancing to step 13:
The number 78 fits into 580 7 times, leaving a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 5304.7435897
Subtracting 546 from 580 leaves us 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 14:
The number 78 fits into 340 4 times, leaving a remainder of 28.
The next digit of our result is 4. 
Result so far: 5304.74358974
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.

After the division, we end up with 5304.74358974 and a remainder of 2.8e-08.