We look at the division of 643349 by 53 
Let's see how many times 53 fits into 643349.

Let's proceed to step 1:
The number 53 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 53

Advancing to step 2:
53 goes into 64 1 times with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 53 from 64, we get 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 53

Moving on to step 3:
113 divided by 53 is 2 with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 7 after subtracting 106 from 113.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 53

On to step 4:
The number 53 fits into 73 1 times, leaving a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 121.0
If we take 53 away from 73, we end up with 20.
Fetch the next digit (4) from the dividend, attach it to 20 and continue: 204 / 53

Let's proceed to step 5:
If we divide 204 by 53, we get 3 and a remainder of 45.
Record the quotient 3 as the next digit in the result. 
Result so far: 1213.0
If we subtract 159 from 204, we get 45.
Grab the next digit (9) from the dividend, add it to 45, then carry on: 459 / 53

Going ahead to step 6:
The number 53 fits into 459 8 times, leaving a remainder of 35.
Put 8 as the next digit of the answer. 
Result so far: 12138.0
If we subtract 424 from 459, 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.

Going ahead to step 7:
When dividing 350 by 53, we get 6 with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 12138.6
Subtracting 318 from 350 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
When dividing 320 by 53, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 12138.66
Subtracting 318 from 320 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 12138.66 and a remainder of 0.002.