Let's divide 6574 by 84
We want to figure out the number of times 6574 can be divided by 84.

On to step 1:
84 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 84

Advancing to step 2:
If we divide 65 by 84, we get 0 and a remainder of 65.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 65, we end up with 65.
Bring next digit (7) of the dividend behind the 65 and repeat the process: 657 / 84

Advancing to step 3:
When dividing 657 by 84, we get 7 with a remainder of 69.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 588 away from 657, we end up with 69.
Append the next digit (4) from the dividend to 69 and continue with: 694 / 84

Going ahead to step 4:
694 divided by 84 is 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 78.0
If we take 672 away from 694, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 5:
The number 84 fits into 220 2 times, leaving a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 78.2
Deduct 168 from 220 and we're left 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.

Going ahead to step 6:
When dividing 520 by 84, we get 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 78.26
The remainder is 16 after subtracting 504 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
84 goes into 160 1 times with a remainder of 76.
Use 1 as the next digit of our solution. 
Result so far: 78.261
Deduct 84 from 160 and we're left 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.

Let's proceed to step 8:
When dividing 760 by 84, we get 9 with a remainder of 4.
The next digit of our result is 9. 
Result so far: 78.2619
The remainder is 4 after subtracting 756 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
84 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 78.2619
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
84 goes into 400 4 times with a remainder of 64.
The next digit of our result is 4. 
Result so far: 78.261904
Subtracting 336 from 400 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 11:
84 goes into 640 7 times with a remainder of 52.
Use 7 as the next digit of our solution. 
Result so far: 78.2619047
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.

Step 12:
84 goes into 520 6 times with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 78.26190476
If we take 504 away from 520, we end up 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.

In conclusion, the division gives 78.26190476 with a balance of 1.6e-08.