713727 ÷ 84 
Our goal is to divide 713727 by 84.

On to step 1:
84 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 84

Going ahead to step 2:
If we divide 71 by 84, we get 0 and a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 71 to get 71.
Append the next digit (3) from the dividend to 71 and continue with: 713 / 84

Step 3:
84 goes into 713 8 times with a remainder of 41.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 41 after subtracting 672 from 713.
Fetch the next digit (7) from the dividend, attach it to 41 and continue: 417 / 84

Advancing to step 4:
417 divided by 84 is 4 with a remainder of 81.
The number 4 becomes the next digit in our result. 
Result so far: 84.0
If we take 336 away from 417, we end up with 81.
Bring next digit (2) of the dividend behind the 81 and repeat the process: 812 / 84

Advancing to step 5:
The number 84 fits into 812 9 times, leaving a remainder of 56.
The next digit of our result is 9. 
Result so far: 849.0
If we subtract 756 from 812, we get 56.
Take the next digit (7) from the dividend and append it to 56, then repeat: 567 / 84

Step 6:
When dividing 567 by 84, we get 6 with a remainder of 63.
The number 6 becomes the next digit in our result. 
Result so far: 8496.0
Deduct 504 from 567 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 7:
When dividing 630 by 84, we get 7 with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 8496.7
Subtracting 588 from 630 leaves us with 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:
420 divided by 84 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 8496.75
Subtract 420 from 420 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
The number 84 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 8496.75
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
The number 84 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 8496.75
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 8496.75, and the remainder is 0.0.