We're dividing 559869 by 78 
We're looking to find how many times 78 goes into 559869.

Moving on to step 1:
If we divide 5 by 78, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 78

Step 2:
55 divided by 78 is 0 with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Bring next digit (9) of the dividend behind the 55 and repeat the process: 559 / 78

Step 3:
559 divided by 78 is 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 546 from 559 leaves us with 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 78

Step 4:
138 divided by 78 is 1 with a remainder of 60.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
The remainder is 60 after subtracting 78 from 138.
Bring next digit (6) of the dividend behind the 60 and repeat the process: 606 / 78

Moving on to step 5:
606 divided by 78 is 7 with a remainder of 60.
The number 7 becomes the next digit in our result. 
Result so far: 717.0
Deduct 546 from 606 and we're left with 60.
Append the next digit (9) from the dividend to 60 and continue with: 609 / 78

On to step 6:
When dividing 609 by 78, we get 7 with a remainder of 63.
The number 7 becomes the next digit in our result. 
Result so far: 7177.0
Subtract 546 from 609 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 7:
78 can be fit into 630 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 7177.8
If we subtract 624 from 630, we 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.

Going ahead to step 8:
78 can be fit into 60 0 times, resulting in a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 7177.8
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 9:
78 goes into 600 7 times with a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 7177.807
Subtracting 546 from 600 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 10:
When dividing 540 by 78, we get 6 with a remainder of 72.
Write down 6 as next digit of the result. 
Result so far: 7177.8076
If we subtract 468 from 540, we 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.

Going ahead to step 11:
The number 78 fits into 720 9 times, leaving a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 7177.80769
Subtract 702 from 720 to 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.

Step 12:
78 goes into 180 2 times with a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 7177.807692
Subtract 156 from 180 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 13:
When dividing 240 by 78, we get 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 7177.8076923
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.

Going ahead to step 14:
78 can be fit into 60 0 times, resulting in a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 7177.8076923
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Our division results in 7177.8076923 with a remaining 6e-08.