465588 ÷ 78 
Our goal is to divide 465588 by 78.

Moving on to step 1:
78 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 78

On to step 2:
46 divided by 78 is 0 with a remainder of 46.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 46, we end up with 46.
Take the next digit (5) from the dividend and append it to 46, then repeat: 465 / 78

Going ahead to step 3:
If we divide 465 by 78, we get 5 and a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 390 from 465 to get 75.
Bring next digit (5) of the dividend behind the 75 and repeat the process: 755 / 78

Moving on to step 4:
78 goes into 755 9 times with a remainder of 53.
Use 9 as the next digit of our solution. 
Result so far: 59.0
Deduct 702 from 755 and we're left with 53.
Bring next digit (8) of the dividend behind the 53 and repeat the process: 538 / 78

Moving on to step 5:
78 can be fit into 538 6 times, resulting in a remainder of 70.
Write down 6 as next digit of the result. 
Result so far: 596.0
The remainder is 70 after subtracting 468 from 538.
Include the next digit (8) from the dividend after 70, then repeat: 708 / 78

Going ahead to step 6:
708 divided by 78 is 9 with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 5969.0
Subtract 702 from 708 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
If we divide 60 by 78, we get 0 and a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 5969.0
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 8:
The number 78 fits into 600 7 times, leaving a remainder of 54.
Record the quotient 7 as the next digit in the result. 
Result so far: 5969.07
If we subtract 546 from 600, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 9:
The number 78 fits into 540 6 times, leaving a remainder of 72.
Use 6 as the next digit of our solution. 
Result so far: 5969.076
Subtract 468 from 540 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 10:
78 can be fit into 720 9 times, resulting in a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 5969.0769
If we subtract 702 from 720, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 11:
If we divide 180 by 78, we get 2 and a remainder of 24.
The next digit of our result is 2. 
Result so far: 5969.07692
If we take 156 away from 180, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 12:
The number 78 fits into 240 3 times, leaving a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 5969.076923
Deduct 234 from 240 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
If we divide 60 by 78, we get 0 and a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 5969.076923
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 14:
78 goes into 600 7 times with a remainder of 54.
Use 7 as the next digit of our solution. 
Result so far: 5969.07692307
Subtract 546 from 600 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

In conclusion, the division gives 5969.07692307 with a balance of 5.4e-08.