We look at the division of 614384 by 90 
Let's see how many times 90 fits into 614384.

Going ahead to step 1:
90 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 90

Step 2:
90 goes into 61 0 times with a remainder of 61.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 61 to get 61.
Include the next digit (4) from the dividend after 61, then repeat: 614 / 90

Let's proceed to step 3:
If we divide 614 by 90, we get 6 and a remainder of 74.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 540 from 614 and we're left with 74.
Append the next digit (3) from the dividend to 74 and continue with: 743 / 90

On to step 4:
If we divide 743 by 90, we get 8 and a remainder of 23.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
The remainder is 23 after subtracting 720 from 743.
Include the next digit (8) from the dividend after 23, then repeat: 238 / 90

Step 5:
90 goes into 238 2 times with a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 682.0
Deduct 180 from 238 and we're left with 58.
Bring next digit (4) of the dividend behind the 58 and repeat the process: 584 / 90

Step 6:
90 can be fit into 584 6 times, resulting in a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 6826.0
The remainder is 44 after subtracting 540 from 584.
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 7:
If we divide 440 by 90, we get 4 and a remainder of 80.
The next digit of our result is 4. 
Result so far: 6826.4
The remainder is 80 after subtracting 360 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 8:
The number 90 fits into 800 8 times, leaving a remainder of 80.
The next digit of our result is 8. 
Result so far: 6826.48
If we take 720 away from 800, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 9:
If we divide 800 by 90, we get 8 and a remainder of 80.
Put 8 as the next digit of the answer. 
Result so far: 6826.488
The remainder is 80 after subtracting 720 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Our division results in 6826.488 with a remaining 0.008.