586143 divided by 91 
Our goal is to divide 586143 by 91.

Let's proceed to step 1:
If we divide 5 by 91, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 91

Going ahead to step 2:
91 goes into 58 0 times with a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Take the next digit (6) from the dividend and append it to 58, then repeat: 586 / 91

On to step 3:
When dividing 586 by 91, we get 6 with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 546 from 586 leaves us with 40.
Take the next digit (1) from the dividend and append it to 40, then repeat: 401 / 91

Let's proceed to step 4:
The number 91 fits into 401 4 times, leaving a remainder of 37.
Put 4 as the next digit of the answer. 
Result so far: 64.0
Subtracting 364 from 401 leaves us with 37.
Include the next digit (4) from the dividend after 37, then repeat: 374 / 91

On to step 5:
If we divide 374 by 91, we get 4 and a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 644.0
If we take 364 away from 374, we end up with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 91

Let's proceed to step 6:
When dividing 103 by 91, we get 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 6441.0
Deduct 91 from 103 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
The number 91 fits into 120 1 times, leaving a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 6441.1
The remainder is 29 after subtracting 91 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 8:
If we divide 290 by 91, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 6441.13
Deduct 273 from 290 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
If we divide 170 by 91, we get 1 and a remainder of 79.
The next digit of our result is 1. 
Result so far: 6441.131
The remainder is 79 after subtracting 91 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 10:
790 divided by 91 is 8 with a remainder of 62.
The next digit of our result is 8. 
Result so far: 6441.1318
Deduct 728 from 790 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 11:
91 goes into 620 6 times with a remainder of 74.
Use 6 as the next digit of our solution. 
Result so far: 6441.13186
If we subtract 546 from 620, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 12:
91 can be fit into 740 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 6441.131868
Subtracting 728 from 740 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
91 goes into 120 1 times with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 6441.1318681
If we subtract 91 from 120, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 14:
91 goes into 290 3 times with a remainder of 17.
The next digit of our result is 3. 
Result so far: 6441.13186813
If we take 273 away from 290, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final outcome is 6441.13186813, with a leftover of 1.7e-08.