84231 ÷ 78 
Our goal is to divide 84231 by 78.

Going ahead to step 1:
The number 78 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 78

On to step 2:
If we divide 84 by 78, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 78 from 84 leaves us with 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 78

Step 3:
78 can be fit into 62 0 times, resulting in a remainder of 62.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 62 leaves us with 62.
Grab the next digit (3) from the dividend, add it to 62, then carry on: 623 / 78

Step 4:
If we divide 623 by 78, we get 7 and a remainder of 77.
The next digit of our result is 7. 
Result so far: 107.0
Subtract 546 from 623 to get 77.
Fetch the next digit (1) from the dividend, attach it to 77 and continue: 771 / 78

Moving on to step 5:
78 can be fit into 771 9 times, resulting in a remainder of 69.
Put 9 as the next digit of the answer. 
Result so far: 1079.0
The remainder is 69 after subtracting 702 from 771.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Going ahead to step 6:
The number 78 fits into 690 8 times, leaving a remainder of 66.
Record the quotient 8 as the next digit in the result. 
Result so far: 1079.8
Subtracting 624 from 690 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 7:
The number 78 fits into 660 8 times, leaving a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 1079.88
Subtract 624 from 660 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The quotient of the division is 1079.88, and the remainder is 0.036.