We look at the division of 679517 by 53 
We want to divide 679517 by 53.

Step 1:
6 divided by 53 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 53

Going ahead to step 2:
When dividing 67 by 53, we get 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 53 from 67 to get 14.
Take the next digit (9) from the dividend and append it to 14, then repeat: 149 / 53

Going ahead to step 3:
The number 53 fits into 149 2 times, leaving a remainder of 43.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Deduct 106 from 149 and we're left with 43.
Include the next digit (5) from the dividend after 43, then repeat: 435 / 53

Let's proceed to step 4:
When dividing 435 by 53, we get 8 with a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 128.0
If we take 424 away from 435, we end up with 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 53

Moving on to step 5:
If we divide 111 by 53, we get 2 and a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 1282.0
Subtracting 106 from 111 leaves us with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 53

Moving on to step 6:
53 can be fit into 57 1 times, resulting in a remainder of 4.
The next digit of our result is 1. 
Result so far: 12821.0
Subtract 53 from 57 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
53 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 12821.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
If we divide 400 by 53, we get 7 and a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 12821.07
Subtract 371 from 400 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 9:
When dividing 290 by 53, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 12821.075
Deduct 265 from 290 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
When dividing 250 by 53, we get 4 with a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 12821.0754
Deduct 212 from 250 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 11:
If we divide 380 by 53, we get 7 and a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 12821.07547
Subtract 371 from 380 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 12:
The number 53 fits into 90 1 times, leaving a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 12821.075471
Subtracting 53 from 90 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 13:
If we divide 370 by 53, we get 6 and a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 12821.0754716
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 14:
53 goes into 520 9 times with a remainder of 43.
Write down 9 as next digit of the result. 
Result so far: 12821.07547169
If we subtract 477 from 520, we 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.

After the division, we end up with 12821.07547169 and a remainder of 4.3e-08.