557291 ÷ 78 
We want to figure out the number of times 557291 can be divided by 78.

Step 1:
The number 78 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 78

Step 2:
78 can be fit into 55 0 times, resulting in a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Take the next digit (7) from the dividend and append it to 55, then repeat: 557 / 78

Moving on to step 3:
When dividing 557 by 78, we get 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 11 after subtracting 546 from 557.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 78

Moving on to step 4:
When dividing 112 by 78, we get 1 with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
The remainder is 34 after subtracting 78 from 112.
Bring next digit (9) of the dividend behind the 34 and repeat the process: 349 / 78

Step 5:
The number 78 fits into 349 4 times, leaving a remainder of 37.
The number 4 becomes the next digit in our result. 
Result so far: 714.0
Subtract 312 from 349 to get 37.
Bring next digit (1) of the dividend behind the 37 and repeat the process: 371 / 78

Moving on to step 6:
When dividing 371 by 78, we get 4 with a remainder of 59.
Record the quotient 4 as the next digit in the result. 
Result so far: 7144.0
If we subtract 312 from 371, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 7:
When dividing 590 by 78, we get 7 with a remainder of 44.
Record the quotient 7 as the next digit in the result. 
Result so far: 7144.7
Deduct 546 from 590 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 8:
440 divided by 78 is 5 with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 7144.75
Subtracting 390 from 440 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
The number 78 fits into 500 6 times, leaving a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 7144.756
If we take 468 away from 500, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 10:
If we divide 320 by 78, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 7144.7564
Deduct 312 from 320 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
78 can be fit into 80 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 7144.75641
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
When dividing 20 by 78, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 7144.75641
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
200 divided by 78 is 2 with a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 7144.7564102
If we take 156 away from 200, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 14:
78 can be fit into 440 5 times, resulting in a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 7144.75641025
Deduct 390 from 440 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final outcome is 7144.75641025, with a leftover of 5e-08.