668425 ÷ 55 
Our goal is to divide 668425 by 55.

Step 1:
When dividing 6 by 55, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 55

Let's proceed to step 2:
66 divided by 55 is 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 11 after subtracting 55 from 66.
Bring next digit (8) of the dividend behind the 11 and repeat the process: 118 / 55

Step 3:
When dividing 118 by 55, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtracting 110 from 118 leaves us with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 55

On to step 4:
55 can be fit into 84 1 times, resulting in a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
If we subtract 55 from 84, we get 29.
Include the next digit (2) from the dividend after 29, then repeat: 292 / 55

Going ahead to step 5:
55 goes into 292 5 times with a remainder of 17.
Put 5 as the next digit of the answer. 
Result so far: 1215.0
Deduct 275 from 292 and we're left with 17.
Bring next digit (5) of the dividend behind the 17 and repeat the process: 175 / 55

Moving on to step 6:
55 can be fit into 175 3 times, resulting in a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 12153.0
Deduct 165 from 175 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 7:
When dividing 100 by 55, we get 1 with a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 12153.1
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 8:
55 can be fit into 450 8 times, resulting in a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 12153.18
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 9:
If we divide 100 by 55, we get 1 and a remainder of 45.
Put 1 as the next digit of the answer. 
Result so far: 12153.181
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 10:
55 goes into 450 8 times with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 12153.1818
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 11:
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: 12153.18181
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.

Advancing to step 12:
When dividing 450 by 55, we get 8 with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 12153.181818
The remainder is 10 after subtracting 440 from 450.
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 13:
55 can be fit into 100 1 times, resulting in a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 12153.1818181
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.

Let's proceed to step 14:
55 can be fit into 450 8 times, resulting in a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 12153.18181818
Subtract 440 from 450 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.

In conclusion, the division gives 12153.18181818 with a balance of 1e-08.