584434 divided by 91 
Our goal is to divide 584434 by 91.

Advancing to step 1:
If we divide 5 by 91, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 91

Moving on to step 2:
91 goes into 58 0 times with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Take the next digit (4) from the dividend and append it to 58, then repeat: 584 / 91

On to step 3:
584 divided by 91 is 6 with a remainder of 38.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 38 after subtracting 546 from 584.
Fetch the next digit (4) from the dividend, attach it to 38 and continue: 384 / 91

Going ahead to step 4:
91 can be fit into 384 4 times, resulting in a remainder of 20.
The next digit of our result is 4. 
Result so far: 64.0
Subtract 364 from 384 to get 20.
Bring next digit (3) of the dividend behind the 20 and repeat the process: 203 / 91

Let's proceed to step 5:
203 divided by 91 is 2 with a remainder of 21.
The next digit of our result is 2. 
Result so far: 642.0
Subtracting 182 from 203 leaves us with 21.
Append the next digit (4) from the dividend to 21 and continue with: 214 / 91

On to step 6:
91 can be fit into 214 2 times, resulting in a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 6422.0
Deduct 182 from 214 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
91 can be fit into 320 3 times, resulting in a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 6422.3
Subtracting 273 from 320 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 8:
91 can be fit into 470 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 6422.35
Subtracting 455 from 470 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
When dividing 150 by 91, we get 1 with a remainder of 59.
Write down 1 as next digit of the result. 
Result so far: 6422.351
Deduct 91 from 150 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 10:
When dividing 590 by 91, we get 6 with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 6422.3516
Subtracting 546 from 590 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 11:
91 can be fit into 440 4 times, resulting in a remainder of 76.
Record the quotient 4 as the next digit in the result. 
Result so far: 6422.35164
Subtract 364 from 440 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 12:
If we divide 760 by 91, we get 8 and a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 6422.351648
Subtract 728 from 760 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.

On to step 13:
The number 91 fits into 320 3 times, leaving a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 6422.3516483
Subtracting 273 from 320 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 14:
91 goes into 470 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 6422.35164835
If we take 455 away from 470, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 6422.35164835 with a remaining 1.5e-08.