34775 ÷ 84 
Let's see how many times 84 fits into 34775.

On to step 1:
The number 84 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 84

Advancing to step 2:
When dividing 34 by 84, we get 0 with a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Take the next digit (7) from the dividend and append it to 34, then repeat: 347 / 84

Going ahead to step 3:
If we divide 347 by 84, we get 4 and a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 336 away from 347, we end up with 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 84

Going ahead to step 4:
If we divide 117 by 84, we get 1 and a remainder of 33.
The next digit of our result is 1. 
Result so far: 41.0
If we take 84 away from 117, we end up with 33.
Append the next digit (5) from the dividend to 33 and continue with: 335 / 84

Let's proceed to step 5:
335 divided by 84 is 3 with a remainder of 83.
The next digit of our result is 3. 
Result so far: 413.0
If we subtract 252 from 335, we get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

On to step 6:
830 divided by 84 is 9 with a remainder of 74.
Record the quotient 9 as the next digit in the result. 
Result so far: 413.9
Subtracting 756 from 830 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 7:
84 goes into 740 8 times with a remainder of 68.
Use 8 as the next digit of our solution. 
Result so far: 413.98
Subtracting 672 from 740 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 8:
84 goes into 680 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 413.988
If we subtract 672 from 680, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 413.988 with a remaining 0.0008.