We look at the division of 506298 by 55 
We want to figure out the number of times 506298 can be divided by 55.

Going ahead to step 1:
55 can be fit into 5 0 times, resulting in 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.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 55

Advancing to step 2:
The number 55 fits into 50 0 times, leaving a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Append the next digit (6) from the dividend to 50 and continue with: 506 / 55

Let's proceed to step 3:
55 goes into 506 9 times with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we subtract 495 from 506, we get 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 55

Moving on to step 4:
The number 55 fits into 112 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 92.0
Subtract 110 from 112 to get 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 55

Going ahead to step 5:
55 can be fit into 29 0 times, resulting in a remainder of 29.
Write down 0 as next digit of the result. 
Result so far: 920.0
Subtracting 0 from 29 leaves us with 29.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 55

Going ahead to step 6:
If we divide 298 by 55, we get 5 and a remainder of 23.
Write down 5 as next digit of the result. 
Result so far: 9205.0
If we subtract 275 from 298, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 7:
230 divided by 55 is 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 9205.4
Deduct 220 from 230 and we're left 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.

Going ahead to step 8:
100 divided by 55 is 1 with a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 9205.41
Subtracting 55 from 100 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 9:
The number 55 fits into 450 8 times, leaving a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 9205.418
Deduct 440 from 450 and we're left 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.

Moving on to step 10:
100 divided by 55 is 1 with a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 9205.4181
If we take 55 away from 100, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 11:
55 can be fit into 450 8 times, resulting in a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 9205.41818
Deduct 440 from 450 and we're left 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.

Let's proceed to step 12:
100 divided by 55 is 1 with a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 9205.418181
Deduct 55 from 100 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 13:
The number 55 fits into 450 8 times, leaving a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 9205.4181818
Subtracting 440 from 450 leaves us 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.

Moving on to step 14:
55 goes into 100 1 times with a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 9205.41818181
The remainder is 45 after subtracting 55 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

After the division, we end up with 9205.41818181 and a remainder of 4.5e-08.