We're dividing 554921 by 95 
Let's see how many times 95 fits into 554921.

Step 1:
5 divided by 95 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 95

Step 2:
55 divided by 95 is 0 with a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Append the next digit (4) from the dividend to 55 and continue with: 554 / 95

Going ahead to step 3:
When dividing 554 by 95, we get 5 with a remainder of 79.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 475 from 554 and we're left with 79.
Take the next digit (9) from the dividend and append it to 79, then repeat: 799 / 95

Let's proceed to step 4:
If we divide 799 by 95, we get 8 and a remainder of 39.
The next digit of our result is 8. 
Result so far: 58.0
Subtract 760 from 799 to get 39.
Fetch the next digit (2) from the dividend, attach it to 39 and continue: 392 / 95

Advancing to step 5:
The number 95 fits into 392 4 times, leaving a remainder of 12.
The next digit of our result is 4. 
Result so far: 584.0
If we subtract 380 from 392, we get 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 95

Step 6:
If we divide 121 by 95, we get 1 and a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 5841.0
If we subtract 95 from 121, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
When dividing 260 by 95, we get 2 with a remainder of 70.
The next digit of our result is 2. 
Result so far: 5841.2
Deduct 190 from 260 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 8:
The number 95 fits into 700 7 times, leaving a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 5841.27
If we take 665 away from 700, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 9:
The number 95 fits into 350 3 times, leaving a remainder of 65.
Put 3 as the next digit of the answer. 
Result so far: 5841.273
The remainder is 65 after subtracting 285 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 10:
95 goes into 650 6 times with a remainder of 80.
The next digit of our result is 6. 
Result so far: 5841.2736
Subtract 570 from 650 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 11:
800 divided by 95 is 8 with a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 5841.27368
Subtract 760 from 800 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 12:
95 can be fit into 400 4 times, resulting in a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 5841.273684
Subtracting 380 from 400 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
The number 95 fits into 200 2 times, leaving a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 5841.2736842
If we subtract 190 from 200, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 14:
100 divided by 95 is 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 5841.27368421
If we subtract 95 from 100, we 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.

Our division results in 5841.27368421 with a remaining 5e-09.