501829 divided by 78 
Let's see how many times 78 fits into 501829.

Step 1:
78 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 78

Moving on to step 2:
78 goes into 50 0 times with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Include the next digit (1) from the dividend after 50, then repeat: 501 / 78

Step 3:
When dividing 501 by 78, we get 6 with a remainder of 33.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 468 from 501 to get 33.
Fetch the next digit (8) from the dividend, attach it to 33 and continue: 338 / 78

Step 4:
When dividing 338 by 78, we get 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 64.0
Subtracting 312 from 338 leaves us with 26.
Bring next digit (2) of the dividend behind the 26 and repeat the process: 262 / 78

Let's proceed to step 5:
When dividing 262 by 78, we get 3 with a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 643.0
If we subtract 234 from 262, we get 28.
Grab the next digit (9) from the dividend, add it to 28, then carry on: 289 / 78

Moving on to step 6:
When dividing 289 by 78, we get 3 with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 6433.0
Subtracting 234 from 289 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 7:
550 divided by 78 is 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 6433.7
If we take 546 away from 550, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
78 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 6433.7
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
If we divide 400 by 78, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 6433.705
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
The number 78 fits into 100 1 times, leaving a remainder of 22.
The next digit of our result is 1. 
Result so far: 6433.7051
Subtracting 78 from 100 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
78 goes into 220 2 times with a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 6433.70512
Subtracting 156 from 220 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 12:
78 goes into 640 8 times with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 6433.705128
Subtracting 624 from 640 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 13:
78 can be fit into 160 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 6433.7051282
The remainder is 4 after subtracting 156 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 14:
78 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 6433.7051282
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 6433.7051282 with a remainder of 4e-08.