We're dividing 743314 by 84 
Our goal is to divide 743314 by 84.

Step 1:
The number 84 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 84

On to step 2:
If we divide 74 by 84, we get 0 and a remainder of 74.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 74, we get 74.
Fetch the next digit (3) from the dividend, attach it to 74 and continue: 743 / 84

Step 3:
If we divide 743 by 84, we get 8 and a remainder of 71.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 672 from 743 and we're left with 71.
Fetch the next digit (3) from the dividend, attach it to 71 and continue: 713 / 84

On to step 4:
When dividing 713 by 84, we get 8 with a remainder of 41.
Write down 8 as next digit of the result. 
Result so far: 88.0
If we subtract 672 from 713, we get 41.
Bring next digit (1) of the dividend behind the 41 and repeat the process: 411 / 84

Let's proceed to step 5:
The number 84 fits into 411 4 times, leaving a remainder of 75.
Use 4 as the next digit of our solution. 
Result so far: 884.0
If we subtract 336 from 411, we get 75.
Take the next digit (4) from the dividend and append it to 75, then repeat: 754 / 84

Step 6:
84 goes into 754 8 times with a remainder of 82.
Use 8 as the next digit of our solution. 
Result so far: 8848.0
Subtract 672 from 754 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Moving on to step 7:
84 goes into 820 9 times with a remainder of 64.
The number 9 becomes the next digit in our result. 
Result so far: 8848.9
If we subtract 756 from 820, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 8:
When dividing 640 by 84, we get 7 with a remainder of 52.
The next digit of our result is 7. 
Result so far: 8848.97
Subtracting 588 from 640 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.

Moving on to step 9:
520 divided by 84 is 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 8848.976
If we subtract 504 from 520, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
84 can be fit into 160 1 times, resulting in a remainder of 76.
Write down 1 as next digit of the result. 
Result so far: 8848.9761
Subtracting 84 from 160 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 11:
The number 84 fits into 760 9 times, leaving a remainder of 4.
The next digit of our result is 9. 
Result so far: 8848.97619
Subtracting 756 from 760 leaves us with 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 12:
84 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 8848.97619
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.

Going ahead to step 13:
84 goes into 400 4 times with a remainder of 64.
The next digit of our result is 4. 
Result so far: 8848.9761904
The remainder is 64 after subtracting 336 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 14:
640 divided by 84 is 7 with a remainder of 52.
Use 7 as the next digit of our solution. 
Result so far: 8848.97619047
If we take 588 away from 640, we end up 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.

Our division results in 8848.97619047 with a remaining 5.2e-08.