We look at the division of 680631 by 53 
Our goal is to divide 680631 by 53.

On to step 1:
53 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 53

Step 2:
68 divided by 53 is 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 53 from 68, we get 15.
Append the next digit (0) from the dividend to 15 and continue with: 150 / 53

Advancing to step 3:
When dividing 150 by 53, we get 2 with a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
The remainder is 44 after subtracting 106 from 150.
Fetch the next digit (6) from the dividend, attach it to 44 and continue: 446 / 53

Moving on to step 4:
The number 53 fits into 446 8 times, leaving a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 128.0
Subtracting 424 from 446 leaves us with 22.
Fetch the next digit (3) from the dividend, attach it to 22 and continue: 223 / 53

Going ahead to step 5:
223 divided by 53 is 4 with a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 1284.0
If we subtract 212 from 223, we get 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 53

Advancing to step 6:
53 can be fit into 111 2 times, resulting in a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 12842.0
If we take 106 away from 111, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
When dividing 50 by 53, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 12842.0
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
53 goes into 500 9 times with a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 12842.09
Subtract 477 from 500 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 9:
When dividing 230 by 53, we get 4 with a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 12842.094
Subtracting 212 from 230 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 10:
If we divide 180 by 53, we get 3 and a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 12842.0943
If we subtract 159 from 180, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 11:
53 can be fit into 210 3 times, resulting in a remainder of 51.
The next digit of our result is 3. 
Result so far: 12842.09433
Subtract 159 from 210 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

After the division, we end up with 12842.09433 and a remainder of 5.1e-05.