30643 ÷ 53 
Our goal is to divide 30643 by 53.

Moving on to step 1:
When dividing 3 by 53, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 53

Let's proceed to step 2:
If we divide 30 by 53, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 53

Advancing to step 3:
If we divide 306 by 53, we get 5 and a remainder of 41.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 265 from 306 and we're left with 41.
Append the next digit (4) from the dividend to 41 and continue with: 414 / 53

Moving on to step 4:
The number 53 fits into 414 7 times, leaving a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 57.0
Subtracting 371 from 414 leaves us with 43.
Grab the next digit (3) from the dividend, add it to 43, then carry on: 433 / 53

Going ahead to step 5:
The number 53 fits into 433 8 times, leaving a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 578.0
Subtract 424 from 433 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 6:
90 divided by 53 is 1 with a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 578.1
Subtract 53 from 90 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 7:
When dividing 370 by 53, we get 6 with a remainder of 52.
The next digit of our result is 6. 
Result so far: 578.16
Subtracting 318 from 370 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 8:
The number 53 fits into 520 9 times, leaving a remainder of 43.
Write down 9 as next digit of the result. 
Result so far: 578.169
Deduct 477 from 520 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 9:
53 can be fit into 430 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 578.1698
Subtract 424 from 430 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
If we divide 60 by 53, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 578.16981
The remainder is 7 after subtracting 53 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
53 goes into 70 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 578.169811
Subtract 53 from 70 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Our division results in 578.169811 with a remaining 1.7e-06.