We're dividing 584414 by 86 
We're looking to find how many times 86 goes into 584414.

Going ahead to step 1:
If we divide 5 by 86, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 86

Let's proceed to step 2:
When dividing 58 by 86, we get 0 with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Grab the next digit (4) from the dividend, add it to 58, then carry on: 584 / 86

Let's proceed to step 3:
86 goes into 584 6 times with a remainder of 68.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 516 away from 584, we end up with 68.
Append the next digit (4) from the dividend to 68 and continue with: 684 / 86

Let's proceed to step 4:
86 can be fit into 684 7 times, resulting in a remainder of 82.
Use 7 as the next digit of our solution. 
Result so far: 67.0
Deduct 602 from 684 and we're left with 82.
Grab the next digit (1) from the dividend, add it to 82, then carry on: 821 / 86

Going ahead to step 5:
The number 86 fits into 821 9 times, leaving a remainder of 47.
The number 9 becomes the next digit in our result. 
Result so far: 679.0
Subtracting 774 from 821 leaves us with 47.
Include the next digit (4) from the dividend after 47, then repeat: 474 / 86

Let's proceed to step 6:
When dividing 474 by 86, we get 5 with a remainder of 44.
Use 5 as the next digit of our solution. 
Result so far: 6795.0
If we subtract 430 from 474, we 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.

Going ahead to step 7:
When dividing 440 by 86, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 6795.5
Subtract 430 from 440 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
86 can be fit into 100 1 times, resulting in a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 6795.51
Deduct 86 from 100 and we're left 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 9:
86 goes into 140 1 times with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 6795.511
The remainder is 54 after subtracting 86 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final result is 6795.511 with a remainder of 0.0054.