We look at the division of 583476 by 95 
Let's see how many times 95 fits into 583476.

Step 1:
5 divided by 95 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 95

On to step 2:
95 goes into 58 0 times with a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Append the next digit (3) from the dividend to 58 and continue with: 583 / 95

Let's proceed to step 3:
The number 95 fits into 583 6 times, leaving a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 570 from 583 and we're left with 13.
Bring next digit (4) of the dividend behind the 13 and repeat the process: 134 / 95

Advancing to step 4:
If we divide 134 by 95, we get 1 and a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 61.0
If we take 95 away from 134, we end up with 39.
Grab the next digit (7) from the dividend, add it to 39, then carry on: 397 / 95

Going ahead to step 5:
The number 95 fits into 397 4 times, leaving a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 614.0
Subtract 380 from 397 to get 17.
Include the next digit (6) from the dividend after 17, then repeat: 176 / 95

Step 6:
When dividing 176 by 95, we get 1 with a remainder of 81.
The next digit of our result is 1. 
Result so far: 6141.0
The remainder is 81 after subtracting 95 from 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

On to step 7:
810 divided by 95 is 8 with a remainder of 50.
The number 8 becomes the next digit in our result. 
Result so far: 6141.8
Subtracting 760 from 810 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
When dividing 500 by 95, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 6141.85
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.

Moving on to step 9:
95 goes into 250 2 times with a remainder of 60.
Put 2 as the next digit of the answer. 
Result so far: 6141.852
The remainder is 60 after subtracting 190 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 10:
600 divided by 95 is 6 with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 6141.8526
Subtracting 570 from 600 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
95 goes into 300 3 times with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 6141.85263
If we subtract 285 from 300, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 12:
95 can be fit into 150 1 times, resulting in a remainder of 55.
Put 1 as the next digit of the answer. 
Result so far: 6141.852631
Subtract 95 from 150 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 13:
550 divided by 95 is 5 with a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 6141.8526315
The remainder is 75 after subtracting 475 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 14:
750 divided by 95 is 7 with a remainder of 85.
Write down 7 as next digit of the result. 
Result so far: 6141.85263157
If we take 665 away from 750, we end up with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

The final result is 6141.85263157 with a remainder of 8.5e-08.