682412 ÷ 53 
Our goal is to divide 682412 by 53.

Step 1:
The number 53 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 53

On to step 2:
68 divided by 53 is 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 53 from 68 to get 15.
Append the next digit (2) from the dividend to 15 and continue with: 152 / 53

Advancing to step 3:
If we divide 152 by 53, we get 2 and a remainder of 46.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 106 from 152 to get 46.
Append the next digit (4) from the dividend to 46 and continue with: 464 / 53

Moving on to step 4:
53 can be fit into 464 8 times, resulting in a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 128.0
Subtracting 424 from 464 leaves us with 40.
Grab the next digit (1) from the dividend, add it to 40, then carry on: 401 / 53

Going ahead to step 5:
If we divide 401 by 53, we get 7 and a remainder of 30.
Write down 7 as next digit of the result. 
Result so far: 1287.0
If we take 371 away from 401, we end up with 30.
Take the next digit (2) from the dividend and append it to 30, then repeat: 302 / 53

Let's proceed to step 6:
53 can be fit into 302 5 times, resulting in a remainder of 37.
Write down 5 as next digit of the result. 
Result so far: 12875.0
If we subtract 265 from 302, we 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.

Let's proceed to step 7:
370 divided by 53 is 6 with a remainder of 52.
The next digit of our result is 6. 
Result so far: 12875.6
The remainder is 52 after subtracting 318 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 8:
53 can be fit into 520 9 times, resulting in a remainder of 43.
Record the quotient 9 as the next digit in the result. 
Result so far: 12875.69
Subtracting 477 from 520 leaves us 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:
When dividing 430 by 53, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 12875.698
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.

Advancing to step 10:
60 divided by 53 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 12875.6981
Deduct 53 from 60 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
53 can be fit into 70 1 times, resulting in a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 12875.69811
The remainder is 17 after subtracting 53 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

In conclusion, the division gives 12875.69811 with a balance of 1.7e-05.