407581 ÷ 78 
We're looking to find how many times 78 goes into 407581.

Going ahead to step 1:
78 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 78

Moving on to step 2:
78 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 40 leaves us with 40.
Include the next digit (7) from the dividend after 40, then repeat: 407 / 78

Going ahead to step 3:
78 goes into 407 5 times with a remainder of 17.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 390 from 407 and we're left with 17.
Append the next digit (5) from the dividend to 17 and continue with: 175 / 78

On to step 4:
If we divide 175 by 78, we get 2 and a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 52.0
If we take 156 away from 175, we end up with 19.
Append the next digit (8) from the dividend to 19 and continue with: 198 / 78

Advancing to step 5:
When dividing 198 by 78, we get 2 with a remainder of 42.
Write down 2 as next digit of the result. 
Result so far: 522.0
Subtract 156 from 198 to get 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 78

Let's proceed to step 6:
The number 78 fits into 421 5 times, leaving a remainder of 31.
The next digit of our result is 5. 
Result so far: 5225.0
The remainder is 31 after subtracting 390 from 421.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
The number 78 fits into 310 3 times, leaving a remainder of 76.
Write down 3 as next digit of the result. 
Result so far: 5225.3
Subtract 234 from 310 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.

On to step 8:
760 divided by 78 is 9 with a remainder of 58.
Record the quotient 9 as the next digit in the result. 
Result so far: 5225.39
If we subtract 702 from 760, we get 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 9:
78 can be fit into 580 7 times, resulting in a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 5225.397
If we take 546 away from 580, 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.

Advancing to step 10:
The number 78 fits into 340 4 times, leaving a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 5225.3974
Deduct 312 from 340 and we're left 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.

Going ahead to step 11:
The number 78 fits into 280 3 times, leaving a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 5225.39743
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.

Going ahead to step 12:
When dividing 460 by 78, we get 5 with a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 5225.397435
If we take 390 away from 460, we end up 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 13:
78 can be fit into 700 8 times, resulting in a remainder of 76.
The number 8 becomes the next digit in our result. 
Result so far: 5225.3974358
The remainder is 76 after subtracting 624 from 700.
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 14:
When dividing 760 by 78, we get 9 with a remainder of 58.
Use 9 as the next digit of our solution. 
Result so far: 5225.39743589
Subtracting 702 from 760 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.

The quotient of the division is 5225.39743589, and the remainder is 5.8e-08.