We look at the division of 589324 by 95 
We're looking to find how many times 95 goes into 589324.

On to step 1:
If we divide 5 by 95, we get 0 and 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.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 95

Step 2:
58 divided by 95 is 0 with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Fetch the next digit (9) from the dividend, attach it to 58 and continue: 589 / 95

Moving on to step 3:
95 can be fit into 589 6 times, resulting in a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 19 after subtracting 570 from 589.
Bring next digit (3) of the dividend behind the 19 and repeat the process: 193 / 95

Let's proceed to step 4:
95 goes into 193 2 times with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
Subtract 190 from 193 to get 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 95

On to step 5:
95 can be fit into 32 0 times, resulting in a remainder of 32.
The next digit of our result is 0. 
Result so far: 620.0
Subtract 0 from 32 to get 32.
Include the next digit (4) from the dividend after 32, then repeat: 324 / 95

Going ahead to step 6:
95 can be fit into 324 3 times, resulting in a remainder of 39.
The next digit of our result is 3. 
Result so far: 6203.0
If we take 285 away from 324, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 7:
The number 95 fits into 390 4 times, leaving a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 6203.4
If we take 380 away from 390, we end up 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 8:
When dividing 100 by 95, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 6203.41
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 9:
If we divide 50 by 95, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 6203.41
Deduct 0 from 50 and we're left 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.

Advancing to step 10:
95 can be fit into 500 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 6203.4105
Subtracting 475 from 500 leaves us 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.

On to step 11:
If we divide 250 by 95, we get 2 and a remainder of 60.
The number 2 becomes the next digit in our result. 
Result so far: 6203.41052
If we subtract 190 from 250, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 12:
95 can be fit into 600 6 times, resulting in a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 6203.410526
The remainder is 30 after subtracting 570 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 13:
The number 95 fits into 300 3 times, leaving a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 6203.4105263
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.

On to step 14:
When dividing 150 by 95, we get 1 with a remainder of 55.
Use 1 as the next digit of our solution. 
Result so far: 6203.41052631
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.

The final outcome is 6203.41052631, with a leftover of 5.5e-08.