558448 ÷ 78 
Our goal is to divide 558448 by 78.

Let's proceed to step 1:
When dividing 5 by 78, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 78

Step 2:
55 divided by 78 is 0 with a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Fetch the next digit (8) from the dividend, attach it to 55 and continue: 558 / 78

On to step 3:
If we divide 558 by 78, we get 7 and a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 546 away from 558, we end up with 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 78

On to step 4:
If we divide 124 by 78, we get 1 and a remainder of 46.
Put 1 as the next digit of the answer. 
Result so far: 71.0
Subtract 78 from 124 to get 46.
Grab the next digit (4) from the dividend, add it to 46, then carry on: 464 / 78

Let's proceed to step 5:
If we divide 464 by 78, we get 5 and a remainder of 74.
The number 5 becomes the next digit in our result. 
Result so far: 715.0
The remainder is 74 after subtracting 390 from 464.
Take the next digit (8) from the dividend and append it to 74, then repeat: 748 / 78

Moving on to step 6:
748 divided by 78 is 9 with a remainder of 46.
Put 9 as the next digit of the answer. 
Result so far: 7159.0
If we take 702 away from 748, we end up 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 7:
If we divide 460 by 78, we get 5 and a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 7159.5
Subtracting 390 from 460 leaves us 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.

On to step 8:
700 divided by 78 is 8 with a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 7159.58
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 9:
The number 78 fits into 760 9 times, leaving a remainder of 58.
The number 9 becomes the next digit in our result. 
Result so far: 7159.589
The remainder is 58 after subtracting 702 from 760.
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 10:
If we divide 580 by 78, we get 7 and a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 7159.5897
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.

Step 11:
78 goes into 340 4 times with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 7159.58974
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.

Step 12:
78 goes into 280 3 times with a remainder of 46.
Record the quotient 3 as the next digit in the result. 
Result so far: 7159.589743
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.

On to step 13:
If we divide 460 by 78, we get 5 and a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 7159.5897435
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 14:
78 goes into 700 8 times with a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 7159.58974358
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.

Our division results in 7159.58974358 with a remaining 7.6e-08.