Let's divide 343021 by 55
Our goal is to divide 343021 by 55.

Going ahead to step 1:
If we divide 3 by 55, we get 0 and 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.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 55

Going ahead to step 2:
If we divide 34 by 55, we get 0 and a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Grab the next digit (3) from the dividend, add it to 34, then carry on: 343 / 55

Step 3:
When dividing 343 by 55, we get 6 with a remainder of 13.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 330 away from 343, we end up with 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 55

On to step 4:
55 goes into 130 2 times with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
If we take 110 away from 130, we end up with 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 55

Step 5:
55 goes into 202 3 times with a remainder of 37.
The next digit of our result is 3. 
Result so far: 623.0
If we subtract 165 from 202, we get 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 55

Let's proceed to step 6:
When dividing 371 by 55, we get 6 with a remainder of 41.
Record the quotient 6 as the next digit in the result. 
Result so far: 6236.0
Subtracting 330 from 371 leaves us 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 7:
The number 55 fits into 410 7 times, leaving a remainder of 25.
Write down 7 as next digit of the result. 
Result so far: 6236.7
The remainder is 25 after subtracting 385 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
When dividing 250 by 55, we get 4 with a remainder of 30.
Write down 4 as next digit of the result. 
Result so far: 6236.74
If we take 220 away from 250, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
300 divided by 55 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6236.745
Subtracting 275 from 300 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
When dividing 250 by 55, we get 4 with a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 6236.7454
Subtracting 220 from 250 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
55 can be fit into 300 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6236.74545
Deduct 275 from 300 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 12:
The number 55 fits into 250 4 times, leaving a remainder of 30.
Put 4 as the next digit of the answer. 
Result so far: 6236.745454
The remainder is 30 after subtracting 220 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
The number 55 fits into 300 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6236.7454545
The remainder is 25 after subtracting 275 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 14:
250 divided by 55 is 4 with a remainder of 30.
Write down 4 as next digit of the result. 
Result so far: 6236.74545454
Subtract 220 from 250 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 6236.74545454, with a leftover of 3e-08.