We're dividing 843 by 53 
We're looking to find how many times 53 goes into 843.

Let's proceed to step 1:
If we divide 8 by 53, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 53

Advancing to step 2:
When dividing 84 by 53, we get 1 with a remainder of 31.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 53 from 84 leaves us with 31.
Bring next digit (3) of the dividend behind the 31 and repeat the process: 313 / 53

Step 3:
53 goes into 313 5 times with a remainder of 48.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 265 away from 313, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 4:
53 can be fit into 480 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 15.9
Subtract 477 from 480 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 5:
53 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 15.9
Subtracting 0 from 30 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.

Let's proceed to step 6:
If we divide 300 by 53, we get 5 and a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 15.905
Deduct 265 from 300 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 7:
The number 53 fits into 350 6 times, leaving a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 15.9056
Deduct 318 from 350 and we're left 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.

Going ahead to step 8:
320 divided by 53 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 15.90566
Subtract 318 from 320 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 15.90566, and the remainder is 2e-06.