We look at the division of 300598 by 55 
We're looking to find how many times 55 goes into 300598.

Going ahead to step 1:
3 divided by 55 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 55

Step 2:
If we divide 30 by 55, we get 0 and a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Take the next digit (0) from the dividend and append it to 30, then repeat: 300 / 55

Advancing to step 3:
The number 55 fits into 300 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 275 from 300 and we're left with 25.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 55

Let's proceed to step 4:
If we divide 255 by 55, we get 4 and a remainder of 35.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
Deduct 220 from 255 and we're left with 35.
Grab the next digit (9) from the dividend, add it to 35, then carry on: 359 / 55

Advancing to step 5:
If we divide 359 by 55, we get 6 and a remainder of 29.
The number 6 becomes the next digit in our result. 
Result so far: 546.0
The remainder is 29 after subtracting 330 from 359.
Include the next digit (8) from the dividend after 29, then repeat: 298 / 55

On to step 6:
298 divided by 55 is 5 with a remainder of 23.
Write down 5 as next digit of the result. 
Result so far: 5465.0
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.

On to step 7:
If we divide 230 by 55, we get 4 and a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 5465.4
Subtract 220 from 230 to 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.

On to step 8:
When dividing 100 by 55, we get 1 with a remainder of 45.
The next digit of our result is 1. 
Result so far: 5465.41
If we subtract 55 from 100, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 9:
55 goes into 450 8 times with a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 5465.418
If we subtract 440 from 450, 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.

Let's proceed to step 10:
55 goes into 100 1 times with a remainder of 45.
The next digit of our result is 1. 
Result so far: 5465.4181
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.

Step 11:
When dividing 450 by 55, we get 8 with a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 5465.41818
If we subtract 440 from 450, 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.

Step 12:
When dividing 100 by 55, we get 1 with a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 5465.418181
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.

Let's proceed to step 13:
55 can be fit into 450 8 times, resulting in a remainder of 10.
The next digit of our result is 8. 
Result so far: 5465.4181818
If we subtract 440 from 450, 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.

Advancing to step 14:
If we divide 100 by 55, we get 1 and a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 5465.41818181
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.

After the division, we end up with 5465.41818181 and a remainder of 4.5e-08.