353586 ÷ 55 
Our goal is to divide 353586 by 55.

Moving on to step 1:
55 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 55

Step 2:
55 can be fit into 35 0 times, resulting in a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Bring next digit (3) of the dividend behind the 35 and repeat the process: 353 / 55

On to step 3:
If we divide 353 by 55, we get 6 and a remainder of 23.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 23 after subtracting 330 from 353.
Include the next digit (5) from the dividend after 23, then repeat: 235 / 55

Going ahead to step 4:
If we divide 235 by 55, we get 4 and a remainder of 15.
The next digit of our result is 4. 
Result so far: 64.0
If we subtract 220 from 235, we get 15.
Take the next digit (8) from the dividend and append it to 15, then repeat: 158 / 55

Going ahead to step 5:
If we divide 158 by 55, we get 2 and a remainder of 48.
The next digit of our result is 2. 
Result so far: 642.0
Deduct 110 from 158 and we're left with 48.
Include the next digit (6) from the dividend after 48, then repeat: 486 / 55

Step 6:
When dividing 486 by 55, we get 8 with a remainder of 46.
Put 8 as the next digit of the answer. 
Result so far: 6428.0
Deduct 440 from 486 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 7:
When dividing 460 by 55, we get 8 with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 6428.8
Subtracting 440 from 460 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.

On to step 8:
200 divided by 55 is 3 with a remainder of 35.
Put 3 as the next digit of the answer. 
Result so far: 6428.83
Subtract 165 from 200 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
55 goes into 350 6 times with a remainder of 20.
The next digit of our result is 6. 
Result so far: 6428.836
If we subtract 330 from 350, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
55 can be fit into 200 3 times, resulting in a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 6428.8363
Deduct 165 from 200 and we're left 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 11:
If we divide 350 by 55, we get 6 and a remainder of 20.
The next digit of our result is 6. 
Result so far: 6428.83636
If we take 330 away from 350, we end up 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 12:
When dividing 200 by 55, we get 3 with a remainder of 35.
Write down 3 as next digit of the result. 
Result so far: 6428.836363
If we take 165 away from 200, 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.

Going ahead to step 13:
When dividing 350 by 55, we get 6 with a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 6428.8363636
If we subtract 330 from 350, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
200 divided by 55 is 3 with a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 6428.83636363
Deduct 165 from 200 and we're left 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.

The final result is 6428.83636363 with a remainder of 3.5e-08.