Let's divide 420284 by 78
We want to figure out the number of times 420284 can be divided by 78.

Going ahead to step 1:
78 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 78

Advancing to step 2:
78 goes into 42 0 times with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Append the next digit (0) from the dividend to 42 and continue with: 420 / 78

Advancing to step 3:
If we divide 420 by 78, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 30 after subtracting 390 from 420.
Bring next digit (2) of the dividend behind the 30 and repeat the process: 302 / 78

Going ahead to step 4:
78 can be fit into 302 3 times, resulting in a remainder of 68.
Write down 3 as next digit of the result. 
Result so far: 53.0
The remainder is 68 after subtracting 234 from 302.
Fetch the next digit (8) from the dividend, attach it to 68 and continue: 688 / 78

On to step 5:
78 goes into 688 8 times with a remainder of 64.
Write down 8 as next digit of the result. 
Result so far: 538.0
Subtracting 624 from 688 leaves us with 64.
Take the next digit (4) from the dividend and append it to 64, then repeat: 644 / 78

Advancing to step 6:
78 goes into 644 8 times with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 5388.0
Subtract 624 from 644 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
If we divide 200 by 78, we get 2 and a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 5388.2
Subtract 156 from 200 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 8:
If we divide 440 by 78, we get 5 and a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 5388.25
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.

Going ahead to step 9:
500 divided by 78 is 6 with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 5388.256
Subtract 468 from 500 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
78 can be fit into 320 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 5388.2564
Subtracting 312 from 320 leaves us 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.

Moving on to step 11:
78 goes into 80 1 times with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 5388.25641
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:
The number 78 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 5388.25641
Deduct 0 from 20 and we're left 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.

On to step 13:
The number 78 fits into 200 2 times, leaving a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 5388.2564102
Subtract 156 from 200 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 14:
The number 78 fits into 440 5 times, leaving a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 5388.25641025
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 quotient of the division is 5388.25641025, and the remainder is 5e-08.