597858 ÷ 91 
We want to figure out the number of times 597858 can be divided by 91.

Advancing to step 1:
The number 91 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 91

Step 2:
91 can be fit into 59 0 times, resulting in a remainder of 59.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 59 to get 59.
Include the next digit (7) from the dividend after 59, then repeat: 597 / 91

On to step 3:
The number 91 fits into 597 6 times, leaving a remainder of 51.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 546 from 597 and we're left with 51.
Include the next digit (8) from the dividend after 51, then repeat: 518 / 91

Moving on to step 4:
91 can be fit into 518 5 times, resulting in a remainder of 63.
Use 5 as the next digit of our solution. 
Result so far: 65.0
The remainder is 63 after subtracting 455 from 518.
Take the next digit (5) from the dividend and append it to 63, then repeat: 635 / 91

Going ahead to step 5:
When dividing 635 by 91, we get 6 with a remainder of 89.
Write down 6 as next digit of the result. 
Result so far: 656.0
If we take 546 away from 635, we end up with 89.
Grab the next digit (8) from the dividend, add it to 89, then carry on: 898 / 91

Advancing to step 6:
898 divided by 91 is 9 with a remainder of 79.
The number 9 becomes the next digit in our result. 
Result so far: 6569.0
Subtract 819 from 898 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 7:
When dividing 790 by 91, we get 8 with a remainder of 62.
The number 8 becomes the next digit in our result. 
Result so far: 6569.8
The remainder is 62 after subtracting 728 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 8:
91 can be fit into 620 6 times, resulting in a remainder of 74.
Use 6 as the next digit of our solution. 
Result so far: 6569.86
The remainder is 74 after subtracting 546 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 9:
The number 91 fits into 740 8 times, leaving a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 6569.868
If we take 728 away from 740, we end up 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.

Moving on to step 10:
91 goes into 120 1 times with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 6569.8681
Subtract 91 from 120 to 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 11:
91 goes into 290 3 times with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 6569.86813
Subtracting 273 from 290 leaves us 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.

On to step 12:
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: 6569.868131
If we take 91 away from 170, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Moving on to step 13:
The number 91 fits into 790 8 times, leaving a remainder of 62.
Put 8 as the next digit of the answer. 
Result so far: 6569.8681318
Subtracting 728 from 790 leaves us 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 14:
If we divide 620 by 91, we get 6 and a remainder of 74.
Record the quotient 6 as the next digit in the result. 
Result so far: 6569.86813186
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.

The final result is 6569.86813186 with a remainder of 7.4e-08.