We're dividing 465376 by 78 
We want to divide 465376 by 78.

Going ahead to step 1:
When dividing 4 by 78, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 78

Let's proceed to step 2:
When dividing 46 by 78, we get 0 with a remainder of 46.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 46 to get 46.
Fetch the next digit (5) from the dividend, attach it to 46 and continue: 465 / 78

Advancing to step 3:
When dividing 465 by 78, we get 5 with a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 390 from 465 leaves us with 75.
Bring next digit (3) of the dividend behind the 75 and repeat the process: 753 / 78

Let's proceed to step 4:
If we divide 753 by 78, we get 9 and a remainder of 51.
Put 9 as the next digit of the answer. 
Result so far: 59.0
Subtract 702 from 753 to get 51.
Bring next digit (7) of the dividend behind the 51 and repeat the process: 517 / 78

Moving on to step 5:
If we divide 517 by 78, we get 6 and a remainder of 49.
The next digit of our result is 6. 
Result so far: 596.0
If we subtract 468 from 517, we get 49.
Take the next digit (6) from the dividend and append it to 49, then repeat: 496 / 78

Advancing to step 6:
496 divided by 78 is 6 with a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 5966.0
If we subtract 468 from 496, we 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.

On to step 7:
280 divided by 78 is 3 with a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 5966.3
Deduct 234 from 280 and we're left with 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 8:
460 divided by 78 is 5 with a remainder of 70.
Record the quotient 5 as the next digit in the result. 
Result so far: 5966.35
Subtract 390 from 460 to 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 9:
78 goes into 700 8 times with a remainder of 76.
Write down 8 as next digit of the result. 
Result so far: 5966.358
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.

Moving on to step 10:
78 goes into 760 9 times with a remainder of 58.
The next digit of our result is 9. 
Result so far: 5966.3589
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.

On to step 11:
78 goes into 580 7 times with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 5966.35897
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.

Step 12:
340 divided by 78 is 4 with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 5966.358974
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.

Step 13:
280 divided by 78 is 3 with a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 5966.3589743
Deduct 234 from 280 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 14:
When dividing 460 by 78, we get 5 with a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 5966.35897435
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.

The final outcome is 5966.35897435, with a leftover of 7e-08.