We're dividing 756717 by 53 
Our goal is to divide 756717 by 53.

Step 1:
53 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 53

Step 2:
The number 53 fits into 75 1 times, leaving a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 53 from 75 to get 22.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 53

Step 3:
53 can be fit into 226 4 times, resulting in a remainder of 14.
The next digit of our result is 4. 
Result so far: 14.0
Subtracting 212 from 226 leaves us with 14.
Append the next digit (7) from the dividend to 14 and continue with: 147 / 53

Let's proceed to step 4:
147 divided by 53 is 2 with a remainder of 41.
Record the quotient 2 as the next digit in the result. 
Result so far: 142.0
Subtracting 106 from 147 leaves us with 41.
Fetch the next digit (1) from the dividend, attach it to 41 and continue: 411 / 53

Moving on to step 5:
The number 53 fits into 411 7 times, leaving a remainder of 40.
The next digit of our result is 7. 
Result so far: 1427.0
If we subtract 371 from 411, we get 40.
Grab the next digit (7) from the dividend, add it to 40, then carry on: 407 / 53

Advancing to step 6:
53 goes into 407 7 times with a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 14277.0
Subtracting 371 from 407 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 7:
53 can be fit into 360 6 times, resulting in a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 14277.6
If we subtract 318 from 360, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 8:
If we divide 420 by 53, we get 7 and a remainder of 49.
Record the quotient 7 as the next digit in the result. 
Result so far: 14277.67
If we take 371 away from 420, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 9:
If we divide 490 by 53, we get 9 and a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 14277.679
Subtract 477 from 490 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 10:
When dividing 130 by 53, we get 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 14277.6792
If we subtract 106 from 130, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 11:
The number 53 fits into 240 4 times, leaving a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 14277.67924
If we subtract 212 from 240, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 12:
When dividing 280 by 53, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 14277.679245
Subtract 265 from 280 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 13:
53 can be fit into 150 2 times, resulting in a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 14277.6792452
Subtract 106 from 150 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 14:
53 can be fit into 440 8 times, resulting in a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 14277.67924528
Deduct 424 from 440 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 14277.67924528 with a remainder of 1.6e-08.