735715 ÷ 84 
We want to figure out the number of times 735715 can be divided by 84.

On to step 1:
If we divide 7 by 84, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 84

Advancing to step 2:
When dividing 73 by 84, we get 0 with a remainder of 73.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 73 to get 73.
Take the next digit (5) from the dividend and append it to 73, then repeat: 735 / 84

Going ahead to step 3:
The number 84 fits into 735 8 times, leaving a remainder of 63.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 672 from 735, we get 63.
Bring next digit (7) of the dividend behind the 63 and repeat the process: 637 / 84

Step 4:
When dividing 637 by 84, we get 7 with a remainder of 49.
The next digit of our result is 7. 
Result so far: 87.0
Subtract 588 from 637 to get 49.
Take the next digit (1) from the dividend and append it to 49, then repeat: 491 / 84

Advancing to step 5:
84 can be fit into 491 5 times, resulting in a remainder of 71.
Put 5 as the next digit of the answer. 
Result so far: 875.0
Deduct 420 from 491 and we're left with 71.
Append the next digit (5) from the dividend to 71 and continue with: 715 / 84

Step 6:
If we divide 715 by 84, we get 8 and a remainder of 43.
Put 8 as the next digit of the answer. 
Result so far: 8758.0
Subtracting 672 from 715 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 7:
When dividing 430 by 84, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 8758.5
If we take 420 away from 430, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
84 goes into 100 1 times with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 8758.51
Subtracting 84 from 100 leaves us 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.

On to step 9:
The number 84 fits into 160 1 times, leaving a remainder of 76.
Write down 1 as next digit of the result. 
Result so far: 8758.511
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.

The final result is 8758.511 with a remainder of 0.0076.