We're dividing 624126 by 84 
Let's see how many times 84 fits into 624126.

Going ahead to step 1:
6 divided by 84 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 84

Step 2:
If we divide 62 by 84, we get 0 and a remainder of 62.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 62 and we're left with 62.
Fetch the next digit (4) from the dividend, attach it to 62 and continue: 624 / 84

Let's proceed to step 3:
The number 84 fits into 624 7 times, leaving a remainder of 36.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 588 from 624 leaves us with 36.
Include the next digit (1) from the dividend after 36, then repeat: 361 / 84

On to step 4:
84 can be fit into 361 4 times, resulting in a remainder of 25.
The next digit of our result is 4. 
Result so far: 74.0
Deduct 336 from 361 and we're left with 25.
Take the next digit (2) from the dividend and append it to 25, then repeat: 252 / 84

On to step 5:
84 can be fit into 252 3 times, resulting in a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 743.0
The remainder is 0 after subtracting 252 from 252.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 84

On to step 6:
84 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 7430.0
If we subtract 0 from 6, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
If we divide 60 by 84, we get 0 and a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 7430.0
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 8:
84 can be fit into 600 7 times, resulting in a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 7430.07
The remainder is 12 after subtracting 588 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
84 can be fit into 120 1 times, resulting in a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 7430.071
If we take 84 away from 120, we end up 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.

On to step 10:
If we divide 360 by 84, we get 4 and a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 7430.0714
If we take 336 away from 360, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 11:
240 divided by 84 is 2 with a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 7430.07142
The remainder is 72 after subtracting 168 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 12:
720 divided by 84 is 8 with a remainder of 48.
Write down 8 as next digit of the result. 
Result so far: 7430.071428
Subtracting 672 from 720 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 13:
When dividing 480 by 84, we get 5 with a remainder of 60.
Write down 5 as next digit of the result. 
Result so far: 7430.0714285
Deduct 420 from 480 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 14:
600 divided by 84 is 7 with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 7430.07142857
Deduct 588 from 600 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 7430.07142857 with a remaining 1.2e-08.