Let's divide 543569 by 78
We want to figure out the number of times 543569 can be divided by 78.

On 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
The remainder is 5 after subtracting 0 from 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 78

Let's proceed to step 2:
When dividing 54 by 78, we get 0 with a remainder of 54.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 54 leaves us with 54.
Take the next digit (3) from the dividend and append it to 54, then repeat: 543 / 78

On to step 3:
The number 78 fits into 543 6 times, leaving a remainder of 75.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 75 after subtracting 468 from 543.
Fetch the next digit (5) from the dividend, attach it to 75 and continue: 755 / 78

Advancing to step 4:
When dividing 755 by 78, we get 9 with a remainder of 53.
Use 9 as the next digit of our solution. 
Result so far: 69.0
The remainder is 53 after subtracting 702 from 755.
Take the next digit (6) from the dividend and append it to 53, then repeat: 536 / 78

On to step 5:
536 divided by 78 is 6 with a remainder of 68.
Write down 6 as next digit of the result. 
Result so far: 696.0
If we take 468 away from 536, we end up with 68.
Grab the next digit (9) from the dividend, add it to 68, then carry on: 689 / 78

On to step 6:
When dividing 689 by 78, we get 8 with a remainder of 65.
Use 8 as the next digit of our solution. 
Result so far: 6968.0
If we take 624 away from 689, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 7:
78 can be fit into 650 8 times, resulting in a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 6968.8
Subtract 624 from 650 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 8:
If we divide 260 by 78, we get 3 and a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 6968.83
Subtracting 234 from 260 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 9:
If we divide 260 by 78, we get 3 and a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 6968.833
Subtract 234 from 260 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 6968.833 and a remainder of 0.0026.