Let's divide 586557 by 95
We want to figure out the number of times 586557 can be divided by 95.

Moving on to step 1:
95 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 95

Let's proceed to step 2:
95 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
Subtract 0 from 58 to get 58.
Bring next digit (6) of the dividend behind the 58 and repeat the process: 586 / 95

Let's proceed to step 3:
If we divide 586 by 95, we get 6 and a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 570 from 586 to get 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 95

Moving on to step 4:
95 goes into 165 1 times with a remainder of 70.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
The remainder is 70 after subtracting 95 from 165.
Bring next digit (5) of the dividend behind the 70 and repeat the process: 705 / 95

Advancing to step 5:
95 can be fit into 705 7 times, resulting in a remainder of 40.
The number 7 becomes the next digit in our result. 
Result so far: 617.0
If we take 665 away from 705, we end up with 40.
Bring next digit (7) of the dividend behind the 40 and repeat the process: 407 / 95

Advancing to step 6:
If we divide 407 by 95, we get 4 and a remainder of 27.
The next digit of our result is 4. 
Result so far: 6174.0
If we take 380 away from 407, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
95 goes into 270 2 times with a remainder of 80.
Record the quotient 2 as the next digit in the result. 
Result so far: 6174.2
Deduct 190 from 270 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 8:
The number 95 fits into 800 8 times, leaving a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 6174.28
The remainder is 40 after subtracting 760 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
95 can be fit into 400 4 times, resulting in a remainder of 20.
The next digit of our result is 4. 
Result so far: 6174.284
Subtract 380 from 400 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
200 divided by 95 is 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 6174.2842
Subtracting 190 from 200 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
When dividing 100 by 95, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 6174.28421
Subtracting 95 from 100 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
50 divided by 95 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 6174.28421
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 13:
500 divided by 95 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 6174.2842105
If we subtract 475 from 500, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 14:
95 can be fit into 250 2 times, resulting in a remainder of 60.
Put 2 as the next digit of the answer. 
Result so far: 6174.28421052
Subtracting 190 from 250 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

After the division, we end up with 6174.28421052 and a remainder of 6e-08.