We're dividing 554591 by 93 
Let's see how many times 93 fits into 554591.

On to step 1:
The number 93 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 93

Going ahead to step 2:
55 divided by 93 is 0 with a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Bring next digit (4) of the dividend behind the 55 and repeat the process: 554 / 93

Advancing to step 3:
When dividing 554 by 93, we get 5 with a remainder of 89.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 465 from 554, we get 89.
Append the next digit (5) from the dividend to 89 and continue with: 895 / 93

Advancing to step 4:
If we divide 895 by 93, we get 9 and a remainder of 58.
Use 9 as the next digit of our solution. 
Result so far: 59.0
If we take 837 away from 895, we end up with 58.
Bring next digit (9) of the dividend behind the 58 and repeat the process: 589 / 93

Let's proceed to step 5:
93 goes into 589 6 times with a remainder of 31.
The next digit of our result is 6. 
Result so far: 596.0
The remainder is 31 after subtracting 558 from 589.
Append the next digit (1) from the dividend to 31 and continue with: 311 / 93

Moving on to step 6:
93 can be fit into 311 3 times, resulting in a remainder of 32.
The next digit of our result is 3. 
Result so far: 5963.0
Subtract 279 from 311 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 7:
When dividing 320 by 93, we get 3 with a remainder of 41.
Write down 3 as next digit of the result. 
Result so far: 5963.3
Deduct 279 from 320 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 8:
The number 93 fits into 410 4 times, leaving a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 5963.34
The remainder is 38 after subtracting 372 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 9:
93 can be fit into 380 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 5963.344
Subtracting 372 from 380 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 5963.344 with a remainder of 0.0008.