586369 ÷ 91 
We want to divide 586369 by 91.

Let's proceed to step 1:
91 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 91

Advancing to step 2:
58 divided by 91 is 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 (6) from the dividend, add it to 58, then carry on: 586 / 91

Going ahead to step 3:
91 goes into 586 6 times with a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 546 from 586 and we're left with 40.
Grab the next digit (3) from the dividend, add it to 40, then carry on: 403 / 91

Advancing to step 4:
If we divide 403 by 91, we get 4 and a remainder of 39.
Write down 4 as next digit of the result. 
Result so far: 64.0
If we subtract 364 from 403, we get 39.
Include the next digit (6) from the dividend after 39, then repeat: 396 / 91

On to step 5:
The number 91 fits into 396 4 times, leaving a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 644.0
Subtract 364 from 396 to get 32.
Include the next digit (9) from the dividend after 32, then repeat: 329 / 91

Going ahead to step 6:
The number 91 fits into 329 3 times, leaving a remainder of 56.
Record the quotient 3 as the next digit in the result. 
Result so far: 6443.0
If we subtract 273 from 329, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
If we divide 560 by 91, we get 6 and a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 6443.6
Deduct 546 from 560 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.

Let's proceed to step 8:
91 can be fit into 140 1 times, resulting in a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 6443.61
Deduct 91 from 140 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 9:
91 goes into 490 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 6443.615
Subtract 455 from 490 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 10:
91 goes into 350 3 times with a remainder of 77.
Put 3 as the next digit of the answer. 
Result so far: 6443.6153
If we take 273 away from 350, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 11:
The number 91 fits into 770 8 times, leaving a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 6443.61538
If we take 728 away from 770, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 12:
91 goes into 420 4 times with a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 6443.615384
If we subtract 364 from 420, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 13:
91 can be fit into 560 6 times, resulting in a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 6443.6153846
Subtract 546 from 560 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 14:
When dividing 140 by 91, we get 1 with a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 6443.61538461
The remainder is 49 after subtracting 91 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

The final outcome is 6443.61538461, with a leftover of 4.9e-08.