We're dividing 501554 by 78 
We want to divide 501554 by 78.

On to step 1:
78 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 78

Let's proceed to step 2:
If we divide 50 by 78, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Fetch the next digit (1) from the dividend, attach it to 50 and continue: 501 / 78

Step 3:
The number 78 fits into 501 6 times, leaving a remainder of 33.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 468 from 501 leaves us with 33.
Grab the next digit (5) from the dividend, add it to 33, then carry on: 335 / 78

Going ahead to step 4:
335 divided by 78 is 4 with a remainder of 23.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
Subtract 312 from 335 to get 23.
Grab the next digit (5) from the dividend, add it to 23, then carry on: 235 / 78

Let's proceed to step 5:
235 divided by 78 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 643.0
The remainder is 1 after subtracting 234 from 235.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 78

Going ahead to step 6:
78 can be fit into 14 0 times, resulting in a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 6430.0
The remainder is 14 after subtracting 0 from 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
The number 78 fits into 140 1 times, leaving a remainder of 62.
Write down 1 as next digit of the result. 
Result so far: 6430.1
Deduct 78 from 140 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 8:
78 can be fit into 620 7 times, resulting in a remainder of 74.
Use 7 as the next digit of our solution. 
Result so far: 6430.17
If we subtract 546 from 620, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 9:
When dividing 740 by 78, we get 9 with a remainder of 38.
Write down 9 as next digit of the result. 
Result so far: 6430.179
If we take 702 away from 740, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 10:
If we divide 380 by 78, we get 4 and a remainder of 68.
The number 4 becomes the next digit in our result. 
Result so far: 6430.1794
Deduct 312 from 380 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 11:
The number 78 fits into 680 8 times, leaving a remainder of 56.
The number 8 becomes the next digit in our result. 
Result so far: 6430.17948
Subtract 624 from 680 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 12:
78 goes into 560 7 times with a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 6430.179487
Subtracting 546 from 560 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 13:
140 divided by 78 is 1 with a remainder of 62.
The next digit of our result is 1. 
Result so far: 6430.1794871
If we take 78 away from 140, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 14:
If we divide 620 by 78, we get 7 and a remainder of 74.
The next digit of our result is 7. 
Result so far: 6430.17948717
Subtracting 546 from 620 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The final outcome is 6430.17948717, with a leftover of 7.4e-08.