812321 ÷ 53 
Our goal is to divide 812321 by 53.

On to step 1:
If we divide 8 by 53, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 53

Moving on to step 2:
53 goes into 81 1 times with a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 53 from 81 leaves us with 28.
Append the next digit (2) from the dividend to 28 and continue with: 282 / 53

Moving on to step 3:
282 divided by 53 is 5 with a remainder of 17.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Deduct 265 from 282 and we're left with 17.
Include the next digit (3) from the dividend after 17, then repeat: 173 / 53

Moving on to step 4:
53 can be fit into 173 3 times, resulting in a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 153.0
The remainder is 14 after subtracting 159 from 173.
Bring next digit (2) of the dividend behind the 14 and repeat the process: 142 / 53

Moving on to step 5:
142 divided by 53 is 2 with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 1532.0
Subtracting 106 from 142 leaves us with 36.
Include the next digit (1) from the dividend after 36, then repeat: 361 / 53

Advancing to step 6:
53 goes into 361 6 times with a remainder of 43.
Use 6 as the next digit of our solution. 
Result so far: 15326.0
Subtract 318 from 361 to get 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 7:
The number 53 fits into 430 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 15326.8
If we take 424 away from 430, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
When dividing 60 by 53, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 15326.81
Subtract 53 from 60 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
53 goes into 70 1 times with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 15326.811
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 15326.811 with a remaining 0.0017.