We look at the division of 643674 by 55 
Our goal is to divide 643674 by 55.

Moving on to step 1:
When dividing 6 by 55, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 55

Going ahead to step 2:
55 can be fit into 64 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 55 from 64 leaves us with 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 55

Advancing to step 3:
93 divided by 55 is 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 11.0
Subtract 55 from 93 to get 38.
Fetch the next digit (6) from the dividend, attach it to 38 and continue: 386 / 55

Let's proceed to step 4:
55 goes into 386 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 117.0
The remainder is 1 after subtracting 385 from 386.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 55

On to step 5:
55 can be fit into 17 0 times, resulting in a remainder of 17.
The next digit of our result is 0. 
Result so far: 1170.0
If we subtract 0 from 17, we get 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 55

Moving on to step 6:
55 goes into 174 3 times with a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 11703.0
The remainder is 9 after subtracting 165 from 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
90 divided by 55 is 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 11703.1
The remainder is 35 after subtracting 55 from 90.
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 8:
350 divided by 55 is 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 11703.16
Subtract 330 from 350 to 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 9:
55 goes into 200 3 times with a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 11703.163
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 10:
The number 55 fits into 350 6 times, leaving a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 11703.1636
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 11:
200 divided by 55 is 3 with a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 11703.16363
If we subtract 165 from 200, we 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.

Moving on to step 12:
55 goes into 350 6 times with a remainder of 20.
The next digit of our result is 6. 
Result so far: 11703.163636
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.

On to step 13:
If we divide 200 by 55, we get 3 and a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 11703.1636363
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.

Let's proceed to step 14:
When dividing 350 by 55, we get 6 with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 11703.16363636
Deduct 330 from 350 and we're left 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.

In conclusion, the division gives 11703.16363636 with a balance of 2e-08.