We look at the division of 583633 by 95 
Let's see how many times 95 fits into 583633.

Let's proceed to step 1:
95 can be fit into 5 0 times, resulting in 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 (8) from the dividend to 5 and continue with: 58 / 95

Step 2:
95 goes into 58 0 times with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Append the next digit (3) from the dividend to 58 and continue with: 583 / 95

On to step 3:
95 can be fit into 583 6 times, resulting in a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 570 from 583 to get 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 95

Let's proceed to step 4:
When dividing 136 by 95, we get 1 with a remainder of 41.
The next digit of our result is 1. 
Result so far: 61.0
The remainder is 41 after subtracting 95 from 136.
Take the next digit (3) from the dividend and append it to 41, then repeat: 413 / 95

Step 5:
When dividing 413 by 95, we get 4 with a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 614.0
Deduct 380 from 413 and we're left with 33.
Take the next digit (3) from the dividend and append it to 33, then repeat: 333 / 95

Moving on to step 6:
95 can be fit into 333 3 times, resulting in a remainder of 48.
The next digit of our result is 3. 
Result so far: 6143.0
If we take 285 away from 333, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 7:
95 goes into 480 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 6143.5
If we take 475 away from 480, we end up 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 8:
The number 95 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 6143.5
If we take 0 away from 50, we end up 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 9:
500 divided by 95 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 6143.505
If we take 475 away from 500, we end up with 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 10:
95 can be fit into 250 2 times, resulting in a remainder of 60.
Write down 2 as next digit of the result. 
Result so far: 6143.5052
If we take 190 away from 250, we end up 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.

Let's proceed to step 11:
When dividing 600 by 95, we get 6 with a remainder of 30.
The next digit of our result is 6. 
Result so far: 6143.50526
If we take 570 away from 600, we end up 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.

Step 12:
If we divide 300 by 95, we get 3 and a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 6143.505263
If we take 285 away from 300, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 13:
When dividing 150 by 95, we get 1 with a remainder of 55.
Put 1 as the next digit of the answer. 
Result so far: 6143.5052631
The remainder is 55 after subtracting 95 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 14:
95 goes into 550 5 times with a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 6143.50526315
Subtract 475 from 550 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

The final result is 6143.50526315 with a remainder of 7.5e-08.